TSTP Solution File: ALG119+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG119+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 18:29:07 EDT 2024
% Result : Theorem 4.22s 0.99s
% Output : Refutation 4.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 89
% Number of leaves : 811
% Syntax : Number of formulae : 4305 ( 335 unt; 0 def)
% Number of atoms : 19932 (7918 equ)
% Maximal formula atoms : 288 ( 4 avg)
% Number of connectives : 27131 (11504 ~;13243 |;1734 &)
% ( 650 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 68 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 796 ( 794 usr; 795 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17151,plain,
$false,
inference(avatar_sat_refutation,[],[f1445,f1450,f1455,f1460,f1465,f1470,f1475,f1480,f1485,f1490,f1495,f1500,f1505,f1510,f1515,f1520,f1525,f1530,f1535,f1540,f1545,f1550,f1555,f1560,f1565,f1570,f1575,f1580,f1585,f1590,f1595,f1600,f1605,f1610,f1615,f1620,f1625,f1630,f1635,f1640,f1645,f1650,f1655,f1660,f1665,f1670,f1675,f1680,f1685,f1690,f1695,f1700,f1705,f1710,f1715,f1720,f1725,f1730,f1735,f1740,f1749,f1758,f1767,f1776,f1785,f1794,f1803,f1812,f1821,f1830,f1839,f1848,f1853,f1858,f1863,f1868,f1877,f1886,f1895,f1904,f1913,f1922,f1931,f1940,f1949,f1958,f1967,f1976,f1985,f1994,f2003,f2008,f2013,f2018,f2023,f2028,f2033,f2038,f2043,f2048,f2053,f2058,f2063,f2068,f2073,f2078,f2083,f2088,f2093,f2098,f2103,f2108,f2113,f2118,f2123,f2128,f2133,f2138,f2143,f2148,f2153,f2158,f2163,f2168,f2173,f2178,f2183,f2188,f2193,f2198,f2203,f2208,f2213,f2218,f2223,f2228,f2233,f2238,f2243,f2248,f2254,f2266,f2275,f2284,f2293,f2302,f2311,f2316,f2321,f2330,f2335,f2340,f2349,f2354,f2359,f2364,f2373,f2378,f2383,f2392,f2397,f2402,f2411,f2416,f2421,f2430,f2435,f2440,f2449,f2454,f2459,f2468,f2473,f2478,f2483,f2492,f2497,f2502,f2511,f2516,f2521,f2530,f2535,f2541,f2546,f2552,f2557,f2563,f2568,f2573,f2578,f2583,f2588,f2593,f2598,f2603,f2608,f2613,f2619,f2624,f2630,f2635,f2641,f2646,f2651,f2656,f2661,f2666,f2671,f2676,f2681,f2686,f2691,f2697,f2705,f2710,f2715,f2720,f2725,f2730,f2735,f2740,f2746,f2751,f2757,f2762,f2767,f2773,f2778,f2783,f2788,f2794,f2799,f2804,f2810,f2816,f2821,f2826,f2831,f2837,f2842,f2847,f2853,f2858,f2864,f2869,f2874,f2879,f2884,f2889,f2894,f2899,f2904,f2909,f2914,f2919,f2924,f2929,f2935,f2940,f2945,f2950,f2956,f2961,f2967,f2972,f2977,f2982,f2988,f2993,f2999,f3004,f3010,f3015,f3021,f3026,f3033,f3038,f3043,f3048,f3053,f3058,f3063,f3068,f3074,f3079,f3085,f3090,f3095,f3100,f3105,f3110,f3115,f3120,f3125,f3130,f3135,f3140,f3145,f3150,f3156,f3161,f3167,f3172,f3177,f3182,f3187,f3194,f3199,f3206,f3215,f3224,f3229,f3234,f3239,f3244,f3249,f3253,f3256,f3267,f3280,f3294,f3296,f3307,f3320,f3334,f3354,f3363,f3378,f3394,f3405,f3414,f3421,f3435,f3463,f3482,f3497,f3503,f3513,f3531,f3544,f3555,f3560,f3565,f3570,f3578,f3594,f3600,f3604,f3633,f3642,f3652,f3658,f3669,f3676,f3678,f3685,f3700,f3712,f3718,f3723,f3724,f3727,f3736,f3742,f3752,f3770,f3793,f3809,f3821,f3829,f3835,f3852,f3879,f3907,f3915,f3974,f4025,f4037,f4042,f4055,f4061,f4081,f4135,f4147,f4169,f4187,f4216,f4217,f4233,f4238,f4254,f4268,f4278,f4291,f4310,f4317,f4318,f4334,f4344,f4359,f4364,f4375,f4397,f4409,f4421,f4422,f4434,f4474,f4484,f4486,f4501,f4512,f4523,f4526,f4529,f4535,f4543,f4552,f4562,f4572,f4594,f4601,f4620,f4643,f4661,f4673,f4682,f4694,f4695,f4718,f4757,f4785,f4840,f4877,f4892,f4914,f4921,f4967,f5000,f5010,f5038,f5041,f5045,f5059,f5079,f5085,f5090,f5110,f5116,f5120,f5123,f5126,f5134,f5143,f5184,f5216,f5244,f5251,f5301,f5303,f5313,f5328,f5342,f5385,f5431,f5432,f5440,f5470,f5473,f5494,f5498,f5502,f5545,f5647,f5654,f5667,f5737,f5797,f5863,f5882,f5919,f5980,f5982,f6009,f6010,f6058,f6079,f6085,f6103,f6117,f6154,f6173,f6243,f6285,f6291,f6304,f6326,f6352,f6357,f6426,f6483,f6531,f6603,f6609,f6620,f6684,f6751,f6752,f6760,f6777,f6785,f6790,f6796,f6812,f6825,f6849,f6858,f6866,f6876,f6889,f6910,f6911,f6922,f6954,f6972,f6980,f7003,f7053,f7061,f7068,f7128,f7139,f7204,f7303,f7589,f7590,f7743,f7816,f7849,f7851,f7855,f7857,f7946,f7974,f8007,f8123,f8140,f8201,f8387,f8437,f8442,f8450,f8457,f8470,f8485,f8503,f8616,f8623,f8645,f8647,f8655,f9077,f9305,f9339,f9348,f9349,f9364,f9390,f9392,f9398,f9399,f9432,f9551,f9564,f9727,f9740,f9787,f9821,f9893,f9969,f10007,f10063,f10118,f10119,f10158,f10372,f10526,f10543,f11278,f11452,f11478,f11494,f11567,f11601,f11617,f11618,f11774,f11779,f11797,f11804,f11818,f11838,f11843,f11847,f11851,f11854,f11886,f11949,f11988,f12000,f12021,f12027,f12030,f12037,f12040,f12044,f12049,f12121,f12176,f12179,f12183,f12187,f12191,f12195,f12248,f12290,f12294,f12299,f12304,f12347,f12379,f12384,f12388,f12459,f12481,f12515,f12518,f12521,f12524,f12529,f12534,f12539,f12544,f12547,f12552,f12589,f12599,f12609,f12620,f12622,f12634,f12640,f12643,f12656,f12659,f12729,f12735,f12741,f12747,f12753,f12759,f12765,f12771,f12776,f12778,f12785,f12793,f12801,f12803,f12815,f12830,f12832,f12841,f12846,f12851,f12871,f12896,f12904,f12906,f12956,f12982,f12987,f12994,f12998,f13016,f13023,f13026,f13047,f13049,f13056,f13110,f13111,f13113,f13119,f13121,f13138,f13160,f13167,f13173,f13174,f13182,f13186,f13203,f13219,f13227,f13238,f13249,f13253,f13255,f13272,f13287,f13302,f13308,f13313,f13314,f13362,f13383,f13389,f13456,f13458,f13460,f13474,f13491,f13543,f13544,f13553,f13558,f13610,f13617,f13625,f13641,f13658,f13661,f13685,f13718,f13841,f13847,f13857,f13903,f13914,f13944,f13946,f13952,f13978,f13980,f13985,f14000,f14014,f14037,f14056,f14062,f14115,f14134,f14151,f14161,f14185,f14193,f14195,f14271,f14299,f14338,f14347,f14355,f14358,f14362,f14364,f14368,f14374,f14379,f14381,f14386,f14392,f14408,f14437,f14439,f14446,f14478,f14515,f14570,f14573,f14576,f14578,f14632,f14642,f14648,f14663,f14666,f14668,f14721,f14726,f14767,f14769,f14782,f14790,f14863,f15088,f15102,f15108,f15110,f15112,f15118,f15121,f15196,f15205,f15210,f15271,f15288,f15312,f15332,f15342,f15467,f15470,f15472,f15478,f15514,f15521,f15578,f15615,f15618,f15627,f15631,f15636,f15643,f15648,f15653,f15698,f15723,f15728,f15733,f15803,f15825,f15859,f15862,f15865,f15870,f15874,f15879,f15883,f15886,f15942,f15981,f15984,f15988,f15992,f15996,f16069,f16089,f16116,f16120,f16125,f16133,f16138,f16143,f16148,f16153,f16158,f16163,f16164,f16167,f16170,f16172,f16174,f16177,f16178,f16180,f16183,f16186,f16189,f16192,f16194,f16196,f16198,f16200,f16202,f16204,f16206,f16208,f16210,f16212,f16214,f16230,f16234,f16236,f16238,f16244,f16246,f16337,f16341,f16352,f16359,f16360,f16363,f16366,f16369,f16444,f16459,f16493,f16503,f16520,f16525,f16537,f16555,f16565,f16566,f16574,f16699,f16700,f16714,f16948,f16961,f16963,f16967,f16973,f16986,f16988,f16994,f17000,f17006,f17012,f17018,f17024,f17027,f17032,f17037,f17044,f17050,f17056,f17062,f17065,f17075,f17083,f17086,f17090,f17093,f17096,f17123,f17131,f17142,f17150]) ).
fof(f17150,plain,
( spl144_269
| ~ spl144_205
| ~ spl144_457 ),
inference(avatar_split_clause,[],[f17149,f12006,f2427,f2754]) ).
fof(f2754,plain,
( spl144_269
<=> e10 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_269])]) ).
fof(f2427,plain,
( spl144_205
<=> e11 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_205])]) ).
fof(f12006,plain,
( spl144_457
<=> e10 = op1(e11,op1(e11,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_457])]) ).
fof(f17149,plain,
( e10 = op1(e11,e11)
| ~ spl144_205
| ~ spl144_457 ),
inference(forward_demodulation,[],[f12008,f2429]) ).
fof(f2429,plain,
( e11 = op1(e11,e10)
| ~ spl144_205 ),
inference(avatar_component_clause,[],[f2427]) ).
fof(f12008,plain,
( e10 = op1(e11,op1(e11,e10))
| ~ spl144_457 ),
inference(avatar_component_clause,[],[f12006]) ).
fof(f17142,plain,
( spl144_381
| spl144_23
| spl144_26
| spl144_27
| ~ spl144_373
| ~ spl144_426
| ~ spl144_436
| ~ spl144_460 ),
inference(avatar_split_clause,[],[f16919,f12018,f5298,f4505,f3327,f1572,f1567,f1552,f3387]) ).
fof(f3387,plain,
( spl144_381
<=> e11 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_381])]) ).
fof(f1552,plain,
( spl144_23
<=> e10 = e11 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_23])]) ).
fof(f1567,plain,
( spl144_26
<=> e11 = e12 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_26])]) ).
fof(f1572,plain,
( spl144_27
<=> e11 = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_27])]) ).
fof(f3327,plain,
( spl144_373
<=> e10 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_373])]) ).
fof(f4505,plain,
( spl144_426
<=> op1(e10,e10) = e12 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_426])]) ).
fof(f5298,plain,
( spl144_436
<=> e10 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_436])]) ).
fof(f12018,plain,
( spl144_460
<=> e13 = op1(e11,op1(e11,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_460])]) ).
fof(f16919,plain,
( e11 = e13
| e11 = e12
| e10 = e11
| e11 = op1(e12,e10)
| ~ spl144_373
| ~ spl144_426
| ~ spl144_436
| ~ spl144_460 ),
inference(forward_demodulation,[],[f5866,f15203]) ).
fof(f15203,plain,
( e13 = op1(e11,e10)
| ~ spl144_436
| ~ spl144_460 ),
inference(superposition,[],[f12020,f5300]) ).
fof(f5300,plain,
( e10 = op1(e11,e13)
| ~ spl144_436 ),
inference(avatar_component_clause,[],[f5298]) ).
fof(f12020,plain,
( e13 = op1(e11,op1(e11,e13))
| ~ spl144_460 ),
inference(avatar_component_clause,[],[f12018]) ).
fof(f5866,plain,
( e11 = e12
| e10 = e11
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| ~ spl144_373
| ~ spl144_426 ),
inference(forward_demodulation,[],[f5578,f4507]) ).
fof(f4507,plain,
( op1(e10,e10) = e12
| ~ spl144_426 ),
inference(avatar_component_clause,[],[f4505]) ).
fof(f5578,plain,
( e10 = e11
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11
| ~ spl144_373 ),
inference(forward_demodulation,[],[f573,f3329]) ).
fof(f3329,plain,
( e10 = op1(e13,e10)
| ~ spl144_373 ),
inference(avatar_component_clause,[],[f3327]) ).
fof(f573,plain,
( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) )
& ( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) )
& ( e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) )
& ( e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10) )
& ( e11 = op1(e13,e13)
| e11 = op1(e12,e13)
| e11 = op1(e11,e13)
| e11 = op1(e10,e13) )
& ( e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10) )
& ( e10 = op1(e13,e13)
| e10 = op1(e12,e13)
| e10 = op1(e11,e13)
| e10 = op1(e10,e13) )
& ( e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10) )
& ( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) )
& ( e13 = op1(e12,e13)
| e13 = op1(e12,e12)
| e13 = op1(e12,e11)
| e13 = op1(e12,e10) )
& ( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) )
& ( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) )
& ( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) )
& ( e11 = op1(e12,e13)
| e11 = op1(e12,e12)
| e11 = op1(e12,e11)
| e11 = op1(e12,e10) )
& ( e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12) )
& ( e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10) )
& ( e13 = op1(e13,e11)
| e13 = op1(e12,e11)
| e13 = op1(e11,e11)
| e13 = op1(e10,e11) )
& ( e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10) )
& ( e12 = op1(e13,e11)
| e12 = op1(e12,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11) )
& ( e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| e12 = op1(e11,e11)
| e12 = op1(e11,e10) )
& ( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) )
& ( e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10) )
& ( e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11) )
& ( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) )
& ( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 )
& ( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 )
& ( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 )
& ( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 )
& ( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 )
& ( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 )
& ( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) )
& ( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f17131,plain,
( spl144_205
| spl144_26
| spl144_27
| spl144_23
| ~ spl144_376
| ~ spl144_385
| ~ spl144_436 ),
inference(avatar_split_clause,[],[f15307,f5298,f3411,f3347,f1552,f1572,f1567,f2427]) ).
fof(f3347,plain,
( spl144_376
<=> e13 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_376])]) ).
fof(f3411,plain,
( spl144_385
<=> e12 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_385])]) ).
fof(f15307,plain,
( e10 = e11
| e11 = e13
| e11 = e12
| e11 = op1(e11,e10)
| ~ spl144_376
| ~ spl144_385
| ~ spl144_436 ),
inference(forward_demodulation,[],[f13161,f5300]) ).
fof(f13161,plain,
( e11 = e13
| e11 = e12
| e11 = op1(e11,e13)
| e11 = op1(e11,e10)
| ~ spl144_376
| ~ spl144_385 ),
inference(forward_demodulation,[],[f13125,f3349]) ).
fof(f3349,plain,
( e13 = op1(e11,e12)
| ~ spl144_376 ),
inference(avatar_component_clause,[],[f3347]) ).
fof(f13125,plain,
( e11 = e12
| e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e10)
| ~ spl144_385 ),
inference(forward_demodulation,[],[f580,f3413]) ).
fof(f3413,plain,
( e12 = op1(e11,e11)
| ~ spl144_385 ),
inference(avatar_component_clause,[],[f3411]) ).
fof(f580,plain,
( e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f17123,plain,
( ~ spl144_168
| ~ spl144_385
| spl144_558 ),
inference(avatar_split_clause,[],[f17112,f15475,f3411,f2251]) ).
fof(f2251,plain,
( spl144_168
<=> e22 = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_168])]) ).
fof(f15475,plain,
( spl144_558
<=> e22 = h4(op1(e11,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_558])]) ).
fof(f17112,plain,
( e22 != h4(e12)
| ~ spl144_385
| spl144_558 ),
inference(superposition,[],[f15477,f3413]) ).
fof(f15477,plain,
( e22 != h4(op1(e11,e11))
| spl144_558 ),
inference(avatar_component_clause,[],[f15475]) ).
fof(f17096,plain,
( ~ spl144_158
| ~ spl144_106 ),
inference(avatar_split_clause,[],[f17095,f1946,f2200]) ).
fof(f2200,plain,
( spl144_158
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_158])]) ).
fof(f1946,plain,
( spl144_106
<=> e21 = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_106])]) ).
fof(f17095,plain,
( ~ sP20
| ~ spl144_106 ),
inference(trivial_inequality_removal,[],[f17094]) ).
fof(f17094,plain,
( e21 != e21
| ~ sP20
| ~ spl144_106 ),
inference(forward_demodulation,[],[f1354,f1947]) ).
fof(f1947,plain,
( e21 = h2(e12)
| ~ spl144_106 ),
inference(avatar_component_clause,[],[f1946]) ).
fof(f1354,plain,
( e21 != h2(e12)
| ~ sP20 ),
inference(forward_demodulation,[],[f849,f415]) ).
fof(f415,plain,
op2(e21,e21) = h2(e12),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
( op2(e21,e21) = h2(e12)
& op2(e21,op2(e21,e21)) = h2(e11)
& h2(e10) = op2(op2(e21,e21),op2(e21,op2(e21,e21)))
& e21 = h2(e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f849,plain,
( e21 != op2(e21,e21)
| ~ sP20 ),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ~ sP20 ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f17093,plain,
( ~ spl144_153
| ~ spl144_96 ),
inference(avatar_split_clause,[],[f17092,f1901,f2175]) ).
fof(f2175,plain,
( spl144_153
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_153])]) ).
fof(f1901,plain,
( spl144_96
<=> e22 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_96])]) ).
fof(f17092,plain,
( ~ sP25
| ~ spl144_96 ),
inference(trivial_inequality_removal,[],[f17091]) ).
fof(f17091,plain,
( e22 != e22
| ~ sP25
| ~ spl144_96 ),
inference(forward_demodulation,[],[f1348,f1902]) ).
fof(f1902,plain,
( e22 = h3(e12)
| ~ spl144_96 ),
inference(avatar_component_clause,[],[f1901]) ).
fof(f1348,plain,
( e22 != h3(e12)
| ~ sP25 ),
inference(forward_demodulation,[],[f829,f411]) ).
fof(f411,plain,
op2(e22,e22) = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( op2(e22,e22) = h3(e12)
& op2(e22,op2(e22,e22)) = h3(e11)
& h3(e10) = op2(op2(e22,e22),op2(e22,op2(e22,e22)))
& e22 = h3(e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f829,plain,
( e22 != op2(e22,e22)
| ~ sP25 ),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ~ sP25 ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f17090,plain,
( ~ spl144_117
| spl144_4
| ~ spl144_393 ),
inference(avatar_split_clause,[],[f17087,f3479,f1457,f1996]) ).
fof(f1996,plain,
( spl144_117
<=> sP62 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_117])]) ).
fof(f1457,plain,
( spl144_4
<=> e21 = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_4])]) ).
fof(f3479,plain,
( spl144_393
<=> e21 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_393])]) ).
fof(f17087,plain,
( e21 = e22
| ~ sP62
| ~ spl144_393 ),
inference(forward_demodulation,[],[f678,f3481]) ).
fof(f3481,plain,
( e21 = op2(e22,e23)
| ~ spl144_393 ),
inference(avatar_component_clause,[],[f3479]) ).
fof(f678,plain,
( e22 = op2(e22,e23)
| ~ sP62 ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ~ sP62 ),
inference(nnf_transformation,[],[f84]) ).
fof(f84,plain,
( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ~ sP62 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f17086,plain,
( ~ spl144_129
| spl144_2
| ~ spl144_354 ),
inference(avatar_split_clause,[],[f17038,f3203,f1447,f2055]) ).
fof(f2055,plain,
( spl144_129
<=> sP51 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_129])]) ).
fof(f1447,plain,
( spl144_2
<=> e20 = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_2])]) ).
fof(f3203,plain,
( spl144_354
<=> e20 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_354])]) ).
fof(f17038,plain,
( e20 = e22
| ~ sP51
| ~ spl144_354 ),
inference(forward_demodulation,[],[f722,f3205]) ).
fof(f3205,plain,
( e20 = op2(e22,e21)
| ~ spl144_354 ),
inference(avatar_component_clause,[],[f3203]) ).
fof(f722,plain,
( e22 = op2(e22,e21)
| ~ sP51 ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
( ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ~ sP51 ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
( ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f17083,plain,
( ~ spl144_650
| ~ spl144_417
| spl144_600 ),
inference(avatar_split_clause,[],[f15977,f15895,f4356,f17080]) ).
fof(f17080,plain,
( spl144_650
<=> op2(e23,e21) = h2(op1(e10,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_650])]) ).
fof(f4356,plain,
( spl144_417
<=> e21 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_417])]) ).
fof(f15895,plain,
( spl144_600
<=> h2(op1(e10,e11)) = op2(e23,h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_600])]) ).
fof(f15977,plain,
( op2(e23,e21) != h2(op1(e10,e11))
| ~ spl144_417
| spl144_600 ),
inference(forward_demodulation,[],[f15897,f4358]) ).
fof(f4358,plain,
( e21 = h2(e11)
| ~ spl144_417 ),
inference(avatar_component_clause,[],[f4356]) ).
fof(f15897,plain,
( h2(op1(e10,e11)) != op2(e23,h2(e11))
| spl144_600 ),
inference(avatar_component_clause,[],[f15895]) ).
fof(f17075,plain,
( ~ spl144_649
| ~ spl144_66
| spl144_479 ),
inference(avatar_split_clause,[],[f13650,f12209,f1764,f17072]) ).
fof(f17072,plain,
( spl144_649
<=> op2(e23,e20) = h4(op1(e11,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_649])]) ).
fof(f1764,plain,
( spl144_66
<=> e20 = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_66])]) ).
fof(f12209,plain,
( spl144_479
<=> h4(op1(e11,e10)) = op2(e23,h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_479])]) ).
fof(f13650,plain,
( op2(e23,e20) != h4(op1(e11,e10))
| ~ spl144_66
| spl144_479 ),
inference(forward_demodulation,[],[f12211,f1765]) ).
fof(f1765,plain,
( e20 = h4(e10)
| ~ spl144_66 ),
inference(avatar_component_clause,[],[f1764]) ).
fof(f12211,plain,
( h4(op1(e11,e10)) != op2(e23,h4(e10))
| spl144_479 ),
inference(avatar_component_clause,[],[f12209]) ).
fof(f17065,plain,
( ~ spl144_368
| ~ spl144_541
| spl144_634 ),
inference(avatar_split_clause,[],[f16552,f16155,f13170,f3291]) ).
fof(f3291,plain,
( spl144_368
<=> e23 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_368])]) ).
fof(f13170,plain,
( spl144_541
<=> e23 = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_541])]) ).
fof(f16155,plain,
( spl144_634
<=> h1(e10) = op2(h1(e10),e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_634])]) ).
fof(f16552,plain,
( e23 != op2(e23,e21)
| ~ spl144_541
| spl144_634 ),
inference(superposition,[],[f16157,f13171]) ).
fof(f13171,plain,
( e23 = h1(e10)
| ~ spl144_541 ),
inference(avatar_component_clause,[],[f13170]) ).
fof(f16157,plain,
( h1(e10) != op2(h1(e10),e21)
| spl144_634 ),
inference(avatar_component_clause,[],[f16155]) ).
fof(f17062,plain,
( ~ spl144_648
| ~ spl144_352
| spl144_490 ),
inference(avatar_split_clause,[],[f12374,f12312,f3191,f17059]) ).
fof(f17059,plain,
( spl144_648
<=> op2(e23,e21) = h4(op1(e10,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_648])]) ).
fof(f3191,plain,
( spl144_352
<=> e21 = h4(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_352])]) ).
fof(f12312,plain,
( spl144_490
<=> h4(op1(e10,e11)) = op2(e23,h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_490])]) ).
fof(f12374,plain,
( op2(e23,e21) != h4(op1(e10,e11))
| ~ spl144_352
| spl144_490 ),
inference(forward_demodulation,[],[f12314,f3193]) ).
fof(f3193,plain,
( e21 = h4(e11)
| ~ spl144_352 ),
inference(avatar_component_clause,[],[f3191]) ).
fof(f12314,plain,
( h4(op1(e10,e11)) != op2(e23,h4(e11))
| spl144_490 ),
inference(avatar_component_clause,[],[f12312]) ).
fof(f17056,plain,
( spl144_647
| ~ spl144_76
| ~ spl144_106
| ~ spl144_166
| ~ spl144_417
| ~ spl144_586 ),
inference(avatar_split_clause,[],[f16835,f15752,f4356,f2240,f1946,f1809,f17053]) ).
fof(f17053,plain,
( spl144_647
<=> e21 = h2(op1(e11,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_647])]) ).
fof(f1809,plain,
( spl144_76
<=> e21 = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_76])]) ).
fof(f2240,plain,
( spl144_166
<=> op2(e21,e21) = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_166])]) ).
fof(f15752,plain,
( spl144_586
<=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_586])]) ).
fof(f16835,plain,
( e21 = h2(op1(e11,e10))
| ~ spl144_76
| ~ spl144_106
| ~ spl144_166
| ~ spl144_417
| ~ spl144_586 ),
inference(forward_demodulation,[],[f16834,f1947]) ).
fof(f16834,plain,
( h2(e12) = h2(op1(e11,e10))
| ~ spl144_76
| ~ spl144_166
| ~ spl144_417
| ~ spl144_586 ),
inference(forward_demodulation,[],[f15888,f2242]) ).
fof(f2242,plain,
( op2(e21,e21) = h2(e12)
| ~ spl144_166 ),
inference(avatar_component_clause,[],[f2240]) ).
fof(f15888,plain,
( op2(e21,e21) = h2(op1(e11,e10))
| ~ spl144_76
| ~ spl144_417
| ~ spl144_586 ),
inference(forward_demodulation,[],[f15887,f4358]) ).
fof(f15887,plain,
( h2(op1(e11,e10)) = op2(h2(e11),e21)
| ~ spl144_76
| ~ spl144_586 ),
inference(forward_demodulation,[],[f15753,f1810]) ).
fof(f1810,plain,
( e21 = h2(e10)
| ~ spl144_76 ),
inference(avatar_component_clause,[],[f1809]) ).
fof(f15753,plain,
( h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
| ~ spl144_586 ),
inference(avatar_component_clause,[],[f15752]) ).
fof(f17050,plain,
( ~ spl144_646
| ~ spl144_436
| ~ spl144_460
| spl144_645 ),
inference(avatar_split_clause,[],[f17045,f17041,f12018,f5298,f17047]) ).
fof(f17047,plain,
( spl144_646
<=> e20 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_646])]) ).
fof(f17041,plain,
( spl144_645
<=> e20 = h2(op1(e11,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_645])]) ).
fof(f17045,plain,
( e20 != h2(e13)
| ~ spl144_436
| ~ spl144_460
| spl144_645 ),
inference(forward_demodulation,[],[f17043,f15203]) ).
fof(f17043,plain,
( e20 != h2(op1(e11,e10))
| spl144_645 ),
inference(avatar_component_clause,[],[f17041]) ).
fof(f17044,plain,
( ~ spl144_645
| ~ spl144_410
| ~ spl144_417
| spl144_603 ),
inference(avatar_split_clause,[],[f16833,f15907,f4356,f4014,f17041]) ).
fof(f4014,plain,
( spl144_410
<=> e20 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_410])]) ).
fof(f15907,plain,
( spl144_603
<=> h2(op1(e11,e10)) = op2(h2(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_603])]) ).
fof(f16833,plain,
( e20 != h2(op1(e11,e10))
| ~ spl144_410
| ~ spl144_417
| spl144_603 ),
inference(forward_demodulation,[],[f15969,f4016]) ).
fof(f4016,plain,
( e20 = op2(e21,e23)
| ~ spl144_410 ),
inference(avatar_component_clause,[],[f4014]) ).
fof(f15969,plain,
( op2(e21,e23) != h2(op1(e11,e10))
| ~ spl144_417
| spl144_603 ),
inference(forward_demodulation,[],[f15909,f4358]) ).
fof(f15909,plain,
( h2(op1(e11,e10)) != op2(h2(e11),e23)
| spl144_603 ),
inference(avatar_component_clause,[],[f15907]) ).
fof(f17037,plain,
( ~ spl144_128
| ~ spl144_106 ),
inference(avatar_split_clause,[],[f17035,f1946,f2050]) ).
fof(f2050,plain,
( spl144_128
<=> sP52 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_128])]) ).
fof(f17035,plain,
( ~ sP52
| ~ spl144_106 ),
inference(trivial_inequality_removal,[],[f17034]) ).
fof(f17034,plain,
( e21 != e21
| ~ sP52
| ~ spl144_106 ),
inference(forward_demodulation,[],[f1308,f1947]) ).
fof(f1308,plain,
( e21 != h2(e12)
| ~ sP52 ),
inference(forward_demodulation,[],[f721,f415]) ).
fof(f721,plain,
( e21 != op2(e21,e21)
| ~ sP52 ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ~ sP52 ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ~ sP52 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f17032,plain,
( spl144_1
| ~ spl144_118
| ~ spl144_168
| ~ spl144_354
| ~ spl144_368
| ~ spl144_446
| ~ spl144_541
| ~ spl144_632 ),
inference(avatar_split_clause,[],[f17031,f16145,f13170,f8434,f3291,f3203,f2251,f2000,f1442]) ).
fof(f1442,plain,
( spl144_1
<=> e20 = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_1])]) ).
fof(f2000,plain,
( spl144_118
<=> e23 = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_118])]) ).
fof(f8434,plain,
( spl144_446
<=> e20 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_446])]) ).
fof(f16145,plain,
( spl144_632
<=> e21 = op2(h1(e10),e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_632])]) ).
fof(f17031,plain,
( e20 = e21
| ~ spl144_118
| ~ spl144_168
| ~ spl144_354
| ~ spl144_368
| ~ spl144_446
| ~ spl144_541
| ~ spl144_632 ),
inference(forward_demodulation,[],[f17030,f16962]) ).
fof(f16962,plain,
( e20 = op2(e22,e20)
| ~ spl144_118
| ~ spl144_168
| ~ spl144_446 ),
inference(forward_demodulation,[],[f8436,f16946]) ).
fof(f16946,plain,
( e22 = e23
| ~ spl144_118
| ~ spl144_168 ),
inference(forward_demodulation,[],[f2001,f2253]) ).
fof(f2253,plain,
( e22 = h4(e12)
| ~ spl144_168 ),
inference(avatar_component_clause,[],[f2251]) ).
fof(f2001,plain,
( e23 = h4(e12)
| ~ spl144_118 ),
inference(avatar_component_clause,[],[f2000]) ).
fof(f8436,plain,
( e20 = op2(e23,e20)
| ~ spl144_446 ),
inference(avatar_component_clause,[],[f8434]) ).
fof(f17030,plain,
( e21 = op2(e22,e20)
| ~ spl144_118
| ~ spl144_168
| ~ spl144_354
| ~ spl144_368
| ~ spl144_541
| ~ spl144_632 ),
inference(forward_demodulation,[],[f17029,f16946]) ).
fof(f17029,plain,
( e21 = op2(e23,e20)
| ~ spl144_118
| ~ spl144_168
| ~ spl144_354
| ~ spl144_368
| ~ spl144_541
| ~ spl144_632 ),
inference(forward_demodulation,[],[f17028,f13171]) ).
fof(f17028,plain,
( e21 = op2(h1(e10),e20)
| ~ spl144_118
| ~ spl144_168
| ~ spl144_354
| ~ spl144_368
| ~ spl144_632 ),
inference(forward_demodulation,[],[f16146,f16965]) ).
fof(f16965,plain,
( e20 = e22
| ~ spl144_118
| ~ spl144_168
| ~ spl144_354
| ~ spl144_368 ),
inference(forward_demodulation,[],[f16964,f3205]) ).
fof(f16964,plain,
( e22 = op2(e22,e21)
| ~ spl144_118
| ~ spl144_168
| ~ spl144_368 ),
inference(forward_demodulation,[],[f3293,f16946]) ).
fof(f3293,plain,
( e23 = op2(e23,e21)
| ~ spl144_368 ),
inference(avatar_component_clause,[],[f3291]) ).
fof(f16146,plain,
( e21 = op2(h1(e10),e22)
| ~ spl144_632 ),
inference(avatar_component_clause,[],[f16145]) ).
fof(f17027,plain,
( ~ spl144_258
| ~ spl144_541
| spl144_632 ),
inference(avatar_split_clause,[],[f16550,f16145,f13170,f2694]) ).
fof(f2694,plain,
( spl144_258
<=> e21 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_258])]) ).
fof(f16550,plain,
( e21 != op2(e23,e22)
| ~ spl144_541
| spl144_632 ),
inference(superposition,[],[f16147,f13171]) ).
fof(f16147,plain,
( e21 != op2(h1(e10),e22)
| spl144_632 ),
inference(avatar_component_clause,[],[f16145]) ).
fof(f17024,plain,
( ~ spl144_644
| ~ spl144_393
| ~ spl144_443
| ~ spl144_541
| spl144_616 ),
inference(avatar_split_clause,[],[f16832,f16018,f13170,f6907,f3479,f17021]) ).
fof(f17021,plain,
( spl144_644
<=> e21 = h1(op1(e11,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_644])]) ).
fof(f6907,plain,
( spl144_443
<=> e22 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_443])]) ).
fof(f16018,plain,
( spl144_616
<=> h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_616])]) ).
fof(f16832,plain,
( e21 != h1(op1(e11,e10))
| ~ spl144_393
| ~ spl144_443
| ~ spl144_541
| spl144_616 ),
inference(forward_demodulation,[],[f16831,f3481]) ).
fof(f16831,plain,
( op2(e22,e23) != h1(op1(e11,e10))
| ~ spl144_443
| ~ spl144_541
| spl144_616 ),
inference(forward_demodulation,[],[f16103,f13171]) ).
fof(f16103,plain,
( h1(op1(e11,e10)) != op2(e22,h1(e10))
| ~ spl144_443
| spl144_616 ),
inference(forward_demodulation,[],[f16020,f6909]) ).
fof(f6909,plain,
( e22 = h1(e11)
| ~ spl144_443 ),
inference(avatar_component_clause,[],[f6907]) ).
fof(f16020,plain,
( h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| spl144_616 ),
inference(avatar_component_clause,[],[f16018]) ).
fof(f17018,plain,
( spl144_643
| ~ spl144_76
| ~ spl144_106
| ~ spl144_166
| ~ spl144_582 ),
inference(avatar_split_clause,[],[f16830,f15736,f2240,f1946,f1809,f17015]) ).
fof(f17015,plain,
( spl144_643
<=> e21 = h2(op1(e10,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_643])]) ).
fof(f15736,plain,
( spl144_582
<=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_582])]) ).
fof(f16830,plain,
( e21 = h2(op1(e10,e10))
| ~ spl144_76
| ~ spl144_106
| ~ spl144_166
| ~ spl144_582 ),
inference(forward_demodulation,[],[f16829,f1947]) ).
fof(f16829,plain,
( h2(e12) = h2(op1(e10,e10))
| ~ spl144_76
| ~ spl144_166
| ~ spl144_582 ),
inference(forward_demodulation,[],[f15863,f2242]) ).
fof(f15863,plain,
( op2(e21,e21) = h2(op1(e10,e10))
| ~ spl144_76
| ~ spl144_582 ),
inference(forward_demodulation,[],[f15737,f1810]) ).
fof(f15737,plain,
( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
| ~ spl144_582 ),
inference(avatar_component_clause,[],[f15736]) ).
fof(f17012,plain,
( ~ spl144_642
| ~ spl144_85
| spl144_599 ),
inference(avatar_split_clause,[],[f16828,f15891,f1850,f17009]) ).
fof(f17009,plain,
( spl144_642
<=> e22 = h2(op1(e10,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_642])]) ).
fof(f1850,plain,
( spl144_85
<=> e22 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_85])]) ).
fof(f15891,plain,
( spl144_599
<=> op2(e23,e23) = h2(op1(e10,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_599])]) ).
fof(f16828,plain,
( e22 != h2(op1(e10,e10))
| ~ spl144_85
| spl144_599 ),
inference(forward_demodulation,[],[f15893,f1852]) ).
fof(f1852,plain,
( e22 = op2(e23,e23)
| ~ spl144_85 ),
inference(avatar_component_clause,[],[f1850]) ).
fof(f15893,plain,
( op2(e23,e23) != h2(op1(e10,e10))
| spl144_599 ),
inference(avatar_component_clause,[],[f15891]) ).
fof(f17006,plain,
( ~ spl144_641
| ~ spl144_85
| ~ spl144_541
| spl144_612 ),
inference(avatar_split_clause,[],[f16827,f16002,f13170,f1850,f17003]) ).
fof(f17003,plain,
( spl144_641
<=> e22 = h1(op1(e10,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_641])]) ).
fof(f16002,plain,
( spl144_612
<=> h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_612])]) ).
fof(f16827,plain,
( e22 != h1(op1(e10,e10))
| ~ spl144_85
| ~ spl144_541
| spl144_612 ),
inference(forward_demodulation,[],[f16826,f1852]) ).
fof(f16826,plain,
( op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_541
| spl144_612 ),
inference(forward_demodulation,[],[f16004,f13171]) ).
fof(f16004,plain,
( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| spl144_612 ),
inference(avatar_component_clause,[],[f16002]) ).
fof(f17000,plain,
( spl144_640
| ~ spl144_76
| ~ spl144_106
| ~ spl144_166
| ~ spl144_417
| ~ spl144_583 ),
inference(avatar_split_clause,[],[f16825,f15740,f4356,f2240,f1946,f1809,f16997]) ).
fof(f16997,plain,
( spl144_640
<=> e21 = h2(op1(e10,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_640])]) ).
fof(f15740,plain,
( spl144_583
<=> h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_583])]) ).
fof(f16825,plain,
( e21 = h2(op1(e10,e11))
| ~ spl144_76
| ~ spl144_106
| ~ spl144_166
| ~ spl144_417
| ~ spl144_583 ),
inference(forward_demodulation,[],[f16824,f1947]) ).
fof(f16824,plain,
( h2(e12) = h2(op1(e10,e11))
| ~ spl144_76
| ~ spl144_166
| ~ spl144_417
| ~ spl144_583 ),
inference(forward_demodulation,[],[f15872,f2242]) ).
fof(f15872,plain,
( op2(e21,e21) = h2(op1(e10,e11))
| ~ spl144_76
| ~ spl144_417
| ~ spl144_583 ),
inference(forward_demodulation,[],[f15871,f1810]) ).
fof(f15871,plain,
( h2(op1(e10,e11)) = op2(h2(e10),e21)
| ~ spl144_417
| ~ spl144_583 ),
inference(forward_demodulation,[],[f15741,f4358]) ).
fof(f15741,plain,
( h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
| ~ spl144_583 ),
inference(avatar_component_clause,[],[f15740]) ).
fof(f16994,plain,
( ~ spl144_639
| ~ spl144_258
| ~ spl144_443
| ~ spl144_541
| spl144_613 ),
inference(avatar_split_clause,[],[f16823,f16006,f13170,f6907,f2694,f16991]) ).
fof(f16991,plain,
( spl144_639
<=> e21 = h1(op1(e10,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_639])]) ).
fof(f16006,plain,
( spl144_613
<=> h1(op1(e10,e11)) = op2(h1(e10),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_613])]) ).
fof(f16823,plain,
( e21 != h1(op1(e10,e11))
| ~ spl144_258
| ~ spl144_443
| ~ spl144_541
| spl144_613 ),
inference(forward_demodulation,[],[f16822,f2696]) ).
fof(f2696,plain,
( e21 = op2(e23,e22)
| ~ spl144_258 ),
inference(avatar_component_clause,[],[f2694]) ).
fof(f16822,plain,
( op2(e23,e22) != h1(op1(e10,e11))
| ~ spl144_443
| ~ spl144_541
| spl144_613 ),
inference(forward_demodulation,[],[f16110,f13171]) ).
fof(f16110,plain,
( h1(op1(e10,e11)) != op2(h1(e10),e22)
| ~ spl144_443
| spl144_613 ),
inference(forward_demodulation,[],[f16008,f6909]) ).
fof(f16008,plain,
( h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| spl144_613 ),
inference(avatar_component_clause,[],[f16006]) ).
fof(f16988,plain,
( spl144_554
| ~ spl144_96
| ~ spl144_165
| ~ spl144_504
| ~ spl144_553 ),
inference(avatar_split_clause,[],[f16793,f14405,f12412,f2235,f1901,f15099]) ).
fof(f15099,plain,
( spl144_554
<=> e22 = h3(op1(e11,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_554])]) ).
fof(f2235,plain,
( spl144_165
<=> op2(e22,e22) = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_165])]) ).
fof(f12412,plain,
( spl144_504
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_504])]) ).
fof(f14405,plain,
( spl144_553
<=> e22 = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_553])]) ).
fof(f16793,plain,
( e22 = h3(op1(e11,e11))
| ~ spl144_96
| ~ spl144_165
| ~ spl144_504
| ~ spl144_553 ),
inference(forward_demodulation,[],[f16792,f1902]) ).
fof(f16792,plain,
( h3(e12) = h3(op1(e11,e11))
| ~ spl144_165
| ~ spl144_504
| ~ spl144_553 ),
inference(forward_demodulation,[],[f15640,f2237]) ).
fof(f2237,plain,
( op2(e22,e22) = h3(e12)
| ~ spl144_165 ),
inference(avatar_component_clause,[],[f2235]) ).
fof(f15640,plain,
( op2(e22,e22) = h3(op1(e11,e11))
| ~ spl144_504
| ~ spl144_553 ),
inference(forward_demodulation,[],[f12413,f14407]) ).
fof(f14407,plain,
( e22 = h3(e11)
| ~ spl144_553 ),
inference(avatar_component_clause,[],[f14405]) ).
fof(f12413,plain,
( h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
| ~ spl144_504 ),
inference(avatar_component_clause,[],[f12412]) ).
fof(f16986,plain,
( spl144_638
| ~ spl144_106
| ~ spl144_166
| ~ spl144_417
| ~ spl144_587 ),
inference(avatar_split_clause,[],[f16791,f15756,f4356,f2240,f1946,f16983]) ).
fof(f16983,plain,
( spl144_638
<=> e21 = h2(op1(e11,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_638])]) ).
fof(f15756,plain,
( spl144_587
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_587])]) ).
fof(f16791,plain,
( e21 = h2(op1(e11,e11))
| ~ spl144_106
| ~ spl144_166
| ~ spl144_417
| ~ spl144_587 ),
inference(forward_demodulation,[],[f16790,f1947]) ).
fof(f16790,plain,
( h2(e12) = h2(op1(e11,e11))
| ~ spl144_166
| ~ spl144_417
| ~ spl144_587 ),
inference(forward_demodulation,[],[f15884,f2242]) ).
fof(f15884,plain,
( op2(e21,e21) = h2(op1(e11,e11))
| ~ spl144_417
| ~ spl144_587 ),
inference(forward_demodulation,[],[f15757,f4358]) ).
fof(f15757,plain,
( h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
| ~ spl144_587 ),
inference(avatar_component_clause,[],[f15756]) ).
fof(f16973,plain,
( spl144_637
| ~ spl144_96
| ~ spl144_165
| ~ spl144_443
| ~ spl144_617 ),
inference(avatar_split_clause,[],[f16789,f16022,f6907,f2235,f1901,f16970]) ).
fof(f16970,plain,
( spl144_637
<=> e22 = h1(op1(e11,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_637])]) ).
fof(f16022,plain,
( spl144_617
<=> h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_617])]) ).
fof(f16789,plain,
( e22 = h1(op1(e11,e11))
| ~ spl144_96
| ~ spl144_165
| ~ spl144_443
| ~ spl144_617 ),
inference(forward_demodulation,[],[f16788,f1902]) ).
fof(f16788,plain,
( h3(e12) = h1(op1(e11,e11))
| ~ spl144_165
| ~ spl144_443
| ~ spl144_617 ),
inference(forward_demodulation,[],[f16126,f2237]) ).
fof(f16126,plain,
( op2(e22,e22) = h1(op1(e11,e11))
| ~ spl144_443
| ~ spl144_617 ),
inference(forward_demodulation,[],[f16023,f6909]) ).
fof(f16023,plain,
( h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
| ~ spl144_617 ),
inference(avatar_component_clause,[],[f16022]) ).
fof(f16967,plain,
( ~ spl144_393
| ~ spl144_541
| spl144_630 ),
inference(avatar_split_clause,[],[f16548,f16135,f13170,f3479]) ).
fof(f16135,plain,
( spl144_630
<=> e21 = op2(e22,h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_630])]) ).
fof(f16548,plain,
( e21 != op2(e22,e23)
| ~ spl144_541
| spl144_630 ),
inference(superposition,[],[f16137,f13171]) ).
fof(f16137,plain,
( e21 != op2(e22,h1(e10))
| spl144_630 ),
inference(avatar_component_clause,[],[f16135]) ).
fof(f16963,plain,
( spl144_368
| ~ spl144_32
| ~ spl144_180
| ~ spl144_352
| ~ spl144_497 ),
inference(avatar_split_clause,[],[f12383,f12340,f3191,f2308,f1597,f3291]) ).
fof(f1597,plain,
( spl144_32
<=> e23 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_32])]) ).
fof(f2308,plain,
( spl144_180
<=> e13 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_180])]) ).
fof(f12340,plain,
( spl144_497
<=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_497])]) ).
fof(f12383,plain,
( e23 = op2(e23,e21)
| ~ spl144_32
| ~ spl144_180
| ~ spl144_352
| ~ spl144_497 ),
inference(forward_demodulation,[],[f12382,f1599]) ).
fof(f1599,plain,
( e23 = h4(e13)
| ~ spl144_32 ),
inference(avatar_component_clause,[],[f1597]) ).
fof(f12382,plain,
( op2(e23,e21) = h4(e13)
| ~ spl144_32
| ~ spl144_180
| ~ spl144_352
| ~ spl144_497 ),
inference(forward_demodulation,[],[f12381,f2310]) ).
fof(f2310,plain,
( e13 = op1(e13,e11)
| ~ spl144_180 ),
inference(avatar_component_clause,[],[f2308]) ).
fof(f12381,plain,
( op2(e23,e21) = h4(op1(e13,e11))
| ~ spl144_32
| ~ spl144_352
| ~ spl144_497 ),
inference(forward_demodulation,[],[f12380,f1599]) ).
fof(f12380,plain,
( h4(op1(e13,e11)) = op2(h4(e13),e21)
| ~ spl144_352
| ~ spl144_497 ),
inference(forward_demodulation,[],[f12341,f3193]) ).
fof(f12341,plain,
( h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
| ~ spl144_497 ),
inference(avatar_component_clause,[],[f12340]) ).
fof(f16961,plain,
( spl144_446
| ~ spl144_32
| ~ spl144_66
| ~ spl144_373
| ~ spl144_485 ),
inference(avatar_split_clause,[],[f12303,f12233,f3327,f1764,f1597,f8434]) ).
fof(f12233,plain,
( spl144_485
<=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_485])]) ).
fof(f12303,plain,
( e20 = op2(e23,e20)
| ~ spl144_32
| ~ spl144_66
| ~ spl144_373
| ~ spl144_485 ),
inference(forward_demodulation,[],[f12302,f1765]) ).
fof(f12302,plain,
( op2(e23,e20) = h4(e10)
| ~ spl144_32
| ~ spl144_66
| ~ spl144_373
| ~ spl144_485 ),
inference(forward_demodulation,[],[f12301,f3329]) ).
fof(f12301,plain,
( op2(e23,e20) = h4(op1(e13,e10))
| ~ spl144_32
| ~ spl144_66
| ~ spl144_485 ),
inference(forward_demodulation,[],[f12300,f1599]) ).
fof(f12300,plain,
( h4(op1(e13,e10)) = op2(h4(e13),e20)
| ~ spl144_66
| ~ spl144_485 ),
inference(forward_demodulation,[],[f12234,f1765]) ).
fof(f12234,plain,
( h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
| ~ spl144_485 ),
inference(avatar_component_clause,[],[f12233]) ).
fof(f16948,plain,
( spl144_4
| ~ spl144_85
| ~ spl144_480
| ~ spl144_557 ),
inference(avatar_split_clause,[],[f16856,f15464,f12213,f1850,f1457]) ).
fof(f12213,plain,
( spl144_480
<=> op2(e23,e23) = h4(op1(e11,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_480])]) ).
fof(f15464,plain,
( spl144_557
<=> e21 = h4(op1(e11,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_557])]) ).
fof(f16856,plain,
( e21 = e22
| ~ spl144_85
| ~ spl144_480
| ~ spl144_557 ),
inference(forward_demodulation,[],[f14208,f15466]) ).
fof(f15466,plain,
( e21 = h4(op1(e11,e11))
| ~ spl144_557 ),
inference(avatar_component_clause,[],[f15464]) ).
fof(f14208,plain,
( e22 = h4(op1(e11,e11))
| ~ spl144_85
| ~ spl144_480 ),
inference(forward_demodulation,[],[f12214,f1852]) ).
fof(f12214,plain,
( op2(e23,e23) = h4(op1(e11,e11))
| ~ spl144_480 ),
inference(avatar_component_clause,[],[f12213]) ).
fof(f16714,plain,
( spl144_368
| spl144_3
| spl144_5
| spl144_6
| ~ spl144_106
| ~ spl144_354
| ~ spl144_404 ),
inference(avatar_split_clause,[],[f16533,f3662,f3203,f1946,f1467,f1462,f1452,f3291]) ).
fof(f1452,plain,
( spl144_3
<=> e20 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_3])]) ).
fof(f1462,plain,
( spl144_5
<=> e21 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_5])]) ).
fof(f1467,plain,
( spl144_6
<=> e22 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_6])]) ).
fof(f3662,plain,
( spl144_404
<=> e22 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_404])]) ).
fof(f16533,plain,
( e22 = e23
| e21 = e23
| e20 = e23
| e23 = op2(e23,e21)
| ~ spl144_106
| ~ spl144_354
| ~ spl144_404 ),
inference(forward_demodulation,[],[f16532,f3664]) ).
fof(f3664,plain,
( e22 = op2(e20,e21)
| ~ spl144_404 ),
inference(avatar_component_clause,[],[f3662]) ).
fof(f16532,plain,
( e21 = e23
| e20 = e23
| e23 = op2(e23,e21)
| e23 = op2(e20,e21)
| ~ spl144_106
| ~ spl144_354 ),
inference(forward_demodulation,[],[f3566,f1947]) ).
fof(f3566,plain,
( e20 = e23
| e23 = h2(e12)
| e23 = op2(e23,e21)
| e23 = op2(e20,e21)
| ~ spl144_354 ),
inference(forward_demodulation,[],[f1238,f3205]) ).
fof(f1238,plain,
( e23 = h2(e12)
| e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e20,e21) ),
inference(forward_demodulation,[],[f537,f415]) ).
fof(f537,plain,
( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( ( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) )
& ( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) )
& ( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) )
& ( e22 = op2(e23,e23)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20) )
& ( e21 = op2(e23,e23)
| e21 = op2(e22,e23)
| e21 = op2(e21,e23)
| e21 = op2(e20,e23) )
& ( e21 = op2(e23,e23)
| e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20) )
& ( e20 = op2(e23,e23)
| e20 = op2(e22,e23)
| e20 = op2(e21,e23)
| e20 = op2(e20,e23) )
& ( e20 = op2(e23,e23)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20) )
& ( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) )
& ( e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) )
& ( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) )
& ( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) )
& ( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) )
& ( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) )
& ( e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22) )
& ( e20 = op2(e22,e23)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20) )
& ( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) )
& ( e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e20) )
& ( e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e21,e21)
| e22 = op2(e20,e21) )
& ( e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e21)
| e22 = op2(e21,e20) )
& ( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) )
& ( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) )
& ( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21) )
& ( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) )
& ( e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23 )
& ( e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 )
& ( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22 )
& ( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 )
& ( e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 )
& ( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 )
& ( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) )
& ( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f16700,plain,
( ~ spl144_410
| ~ spl144_541
| spl144_629 ),
inference(avatar_split_clause,[],[f16547,f16130,f13170,f4014]) ).
fof(f16130,plain,
( spl144_629
<=> e20 = op2(e21,h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_629])]) ).
fof(f16547,plain,
( e20 != op2(e21,e23)
| ~ spl144_541
| spl144_629 ),
inference(superposition,[],[f16132,f13171]) ).
fof(f16132,plain,
( e20 != op2(e21,h1(e10))
| spl144_629 ),
inference(avatar_component_clause,[],[f16130]) ).
fof(f16699,plain,
( spl144_402
| ~ spl144_32
| ~ spl144_66
| ~ spl144_168
| ~ spl144_378
| ~ spl144_469 ),
inference(avatar_split_clause,[],[f15444,f12090,f3360,f2251,f1764,f1597,f3649]) ).
fof(f3649,plain,
( spl144_402
<=> e23 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_402])]) ).
fof(f3360,plain,
( spl144_378
<=> e13 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_378])]) ).
fof(f12090,plain,
( spl144_469
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_469])]) ).
fof(f15444,plain,
( e23 = op2(e22,e20)
| ~ spl144_32
| ~ spl144_66
| ~ spl144_168
| ~ spl144_378
| ~ spl144_469 ),
inference(forward_demodulation,[],[f12835,f1599]) ).
fof(f12835,plain,
( op2(e22,e20) = h4(e13)
| ~ spl144_66
| ~ spl144_168
| ~ spl144_378
| ~ spl144_469 ),
inference(forward_demodulation,[],[f12834,f3362]) ).
fof(f3362,plain,
( e13 = op1(e12,e10)
| ~ spl144_378 ),
inference(avatar_component_clause,[],[f3360]) ).
fof(f12834,plain,
( op2(e22,e20) = h4(op1(e12,e10))
| ~ spl144_66
| ~ spl144_168
| ~ spl144_469 ),
inference(forward_demodulation,[],[f12833,f2253]) ).
fof(f12833,plain,
( h4(op1(e12,e10)) = op2(h4(e12),e20)
| ~ spl144_66
| ~ spl144_469 ),
inference(forward_demodulation,[],[f12091,f1765]) ).
fof(f12091,plain,
( h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
| ~ spl144_469 ),
inference(avatar_component_clause,[],[f12090]) ).
fof(f16574,plain,
( spl144_402
| spl144_6
| spl144_5
| spl144_3
| ~ spl144_96
| ~ spl144_354
| ~ spl144_393 ),
inference(avatar_split_clause,[],[f11747,f3479,f3203,f1901,f1452,f1462,f1467,f3649]) ).
fof(f11747,plain,
( e20 = e23
| e21 = e23
| e22 = e23
| e23 = op2(e22,e20)
| ~ spl144_96
| ~ spl144_354
| ~ spl144_393 ),
inference(forward_demodulation,[],[f11746,f3205]) ).
fof(f11746,plain,
( e21 = e23
| e22 = e23
| e23 = op2(e22,e21)
| e23 = op2(e22,e20)
| ~ spl144_96
| ~ spl144_393 ),
inference(forward_demodulation,[],[f8284,f3481]) ).
fof(f8284,plain,
( e22 = e23
| e23 = op2(e22,e23)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20)
| ~ spl144_96 ),
inference(forward_demodulation,[],[f1231,f1902]) ).
fof(f1231,plain,
( e23 = h3(e12)
| e23 = op2(e22,e23)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) ),
inference(forward_demodulation,[],[f544,f411]) ).
fof(f544,plain,
( e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f16566,plain,
( ~ spl144_446
| ~ spl144_66
| ~ spl144_373
| spl144_473 ),
inference(avatar_split_clause,[],[f16500,f12106,f3327,f1764,f8434]) ).
fof(f12106,plain,
( spl144_473
<=> h4(op1(e13,e10)) = op2(e23,h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_473])]) ).
fof(f16500,plain,
( e20 != op2(e23,e20)
| ~ spl144_66
| ~ spl144_373
| spl144_473 ),
inference(forward_demodulation,[],[f16499,f1765]) ).
fof(f16499,plain,
( op2(e23,e20) != h4(e10)
| ~ spl144_66
| ~ spl144_373
| spl144_473 ),
inference(forward_demodulation,[],[f16498,f3329]) ).
fof(f16498,plain,
( op2(e23,e20) != h4(op1(e13,e10))
| ~ spl144_66
| spl144_473 ),
inference(forward_demodulation,[],[f12108,f1765]) ).
fof(f12108,plain,
( h4(op1(e13,e10)) != op2(e23,h4(e10))
| spl144_473 ),
inference(avatar_component_clause,[],[f12106]) ).
fof(f16565,plain,
( ~ spl144_402
| ~ spl144_66
| ~ spl144_168
| spl144_469
| ~ spl144_545 ),
inference(avatar_split_clause,[],[f16491,f13359,f12090,f2251,f1764,f3649]) ).
fof(f13359,plain,
( spl144_545
<=> e23 = h4(op1(e12,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_545])]) ).
fof(f16491,plain,
( e23 != op2(e22,e20)
| ~ spl144_66
| ~ spl144_168
| spl144_469
| ~ spl144_545 ),
inference(forward_demodulation,[],[f16490,f13361]) ).
fof(f13361,plain,
( e23 = h4(op1(e12,e10))
| ~ spl144_545 ),
inference(avatar_component_clause,[],[f13359]) ).
fof(f16490,plain,
( op2(e22,e20) != h4(op1(e12,e10))
| ~ spl144_66
| ~ spl144_168
| spl144_469 ),
inference(forward_demodulation,[],[f16489,f2253]) ).
fof(f16489,plain,
( h4(op1(e12,e10)) != op2(h4(e12),e20)
| ~ spl144_66
| spl144_469 ),
inference(forward_demodulation,[],[f12092,f1765]) ).
fof(f12092,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| spl144_469 ),
inference(avatar_component_clause,[],[f12090]) ).
fof(f16555,plain,
( spl144_368
| ~ spl144_32
| ~ spl144_180
| ~ spl144_352
| ~ spl144_497 ),
inference(avatar_split_clause,[],[f12383,f12340,f3191,f2308,f1597,f3291]) ).
fof(f16537,plain,
( spl144_368
| ~ spl144_32
| ~ spl144_180
| ~ spl144_352
| ~ spl144_474 ),
inference(avatar_split_clause,[],[f12186,f12110,f3191,f2308,f1597,f3291]) ).
fof(f12110,plain,
( spl144_474
<=> h4(op1(e13,e11)) = op2(e23,h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_474])]) ).
fof(f12186,plain,
( e23 = op2(e23,e21)
| ~ spl144_32
| ~ spl144_180
| ~ spl144_352
| ~ spl144_474 ),
inference(forward_demodulation,[],[f12185,f1599]) ).
fof(f12185,plain,
( op2(e23,e21) = h4(e13)
| ~ spl144_180
| ~ spl144_352
| ~ spl144_474 ),
inference(forward_demodulation,[],[f12184,f2310]) ).
fof(f12184,plain,
( op2(e23,e21) = h4(op1(e13,e11))
| ~ spl144_352
| ~ spl144_474 ),
inference(forward_demodulation,[],[f12111,f3193]) ).
fof(f12111,plain,
( h4(op1(e13,e11)) = op2(e23,h4(e11))
| ~ spl144_474 ),
inference(avatar_component_clause,[],[f12110]) ).
fof(f16525,plain,
( ~ spl144_395
| ~ spl144_106
| ~ spl144_166
| spl144_368
| ~ spl144_401 ),
inference(avatar_split_clause,[],[f16430,f3575,f3291,f2240,f1946,f3500]) ).
fof(f3500,plain,
( spl144_395
<=> e21 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_395])]) ).
fof(f3575,plain,
( spl144_401
<=> e23 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_401])]) ).
fof(f16430,plain,
( e21 != op2(e21,e21)
| ~ spl144_106
| ~ spl144_166
| spl144_368
| ~ spl144_401 ),
inference(forward_demodulation,[],[f3292,f12890]) ).
fof(f12890,plain,
( e21 = e23
| ~ spl144_106
| ~ spl144_166
| ~ spl144_401 ),
inference(forward_demodulation,[],[f12885,f1947]) ).
fof(f12885,plain,
( e23 = h2(e12)
| ~ spl144_166
| ~ spl144_401 ),
inference(superposition,[],[f3577,f2242]) ).
fof(f3577,plain,
( e23 = op2(e21,e21)
| ~ spl144_401 ),
inference(avatar_component_clause,[],[f3575]) ).
fof(f3292,plain,
( e23 != op2(e23,e21)
| spl144_368 ),
inference(avatar_component_clause,[],[f3291]) ).
fof(f16520,plain,
( spl144_395
| ~ spl144_108
| ~ spl144_188
| ~ spl144_622 ),
inference(avatar_split_clause,[],[f16119,f16042,f2346,f1955,f3500]) ).
fof(f1955,plain,
( spl144_108
<=> e21 = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_108])]) ).
fof(f2346,plain,
( spl144_188
<=> e12 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_188])]) ).
fof(f16042,plain,
( spl144_622
<=> h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_622])]) ).
fof(f16119,plain,
( e21 = op2(e21,e21)
| ~ spl144_108
| ~ spl144_188
| ~ spl144_622 ),
inference(forward_demodulation,[],[f16118,f1957]) ).
fof(f1957,plain,
( e21 = h1(e12)
| ~ spl144_108 ),
inference(avatar_component_clause,[],[f1955]) ).
fof(f16118,plain,
( op2(e21,e21) = h1(e12)
| ~ spl144_108
| ~ spl144_188
| ~ spl144_622 ),
inference(forward_demodulation,[],[f16117,f2348]) ).
fof(f2348,plain,
( e12 = op1(e12,e12)
| ~ spl144_188 ),
inference(avatar_component_clause,[],[f2346]) ).
fof(f16117,plain,
( op2(e21,e21) = h1(op1(e12,e12))
| ~ spl144_108
| ~ spl144_622 ),
inference(forward_demodulation,[],[f16043,f1957]) ).
fof(f16043,plain,
( h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
| ~ spl144_622 ),
inference(avatar_component_clause,[],[f16042]) ).
fof(f16503,plain,
( spl144_395
| ~ spl144_106
| ~ spl144_166
| ~ spl144_401 ),
inference(avatar_split_clause,[],[f16353,f3575,f2240,f1946,f3500]) ).
fof(f16353,plain,
( e21 = op2(e21,e21)
| ~ spl144_106
| ~ spl144_166
| ~ spl144_401 ),
inference(forward_demodulation,[],[f3577,f12890]) ).
fof(f16493,plain,
( spl144_438
| ~ spl144_66
| ~ spl144_106
| ~ spl144_166
| ~ spl144_373
| ~ spl144_401
| ~ spl144_473 ),
inference(avatar_split_clause,[],[f16408,f12106,f3575,f3327,f2240,f1946,f1764,f6055]) ).
fof(f6055,plain,
( spl144_438
<=> e20 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_438])]) ).
fof(f16408,plain,
( e20 = op2(e21,e20)
| ~ spl144_66
| ~ spl144_106
| ~ spl144_166
| ~ spl144_373
| ~ spl144_401
| ~ spl144_473 ),
inference(forward_demodulation,[],[f12190,f12890]) ).
fof(f12190,plain,
( e20 = op2(e23,e20)
| ~ spl144_66
| ~ spl144_373
| ~ spl144_473 ),
inference(forward_demodulation,[],[f12189,f1765]) ).
fof(f12189,plain,
( op2(e23,e20) = h4(e10)
| ~ spl144_66
| ~ spl144_373
| ~ spl144_473 ),
inference(forward_demodulation,[],[f12188,f3329]) ).
fof(f12188,plain,
( op2(e23,e20) = h4(op1(e13,e10))
| ~ spl144_66
| ~ spl144_473 ),
inference(forward_demodulation,[],[f12107,f1765]) ).
fof(f12107,plain,
( h4(op1(e13,e10)) = op2(e23,h4(e10))
| ~ spl144_473 ),
inference(avatar_component_clause,[],[f12106]) ).
fof(f16459,plain,
( spl144_391
| ~ spl144_32
| ~ spl144_66
| ~ spl144_106
| ~ spl144_166
| ~ spl144_168
| ~ spl144_378
| ~ spl144_401
| ~ spl144_469 ),
inference(avatar_split_clause,[],[f16385,f12090,f3575,f3360,f2251,f2240,f1946,f1764,f1597,f3471]) ).
fof(f3471,plain,
( spl144_391
<=> e21 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_391])]) ).
fof(f16385,plain,
( e21 = op2(e22,e20)
| ~ spl144_32
| ~ spl144_66
| ~ spl144_106
| ~ spl144_166
| ~ spl144_168
| ~ spl144_378
| ~ spl144_401
| ~ spl144_469 ),
inference(forward_demodulation,[],[f15444,f12890]) ).
fof(f16444,plain,
( spl144_1
| ~ spl144_32
| ~ spl144_66
| ~ spl144_106
| ~ spl144_166
| ~ spl144_367
| ~ spl144_373
| ~ spl144_401
| ~ spl144_485 ),
inference(avatar_split_clause,[],[f16443,f12233,f3575,f3327,f3287,f2240,f1946,f1764,f1597,f1442]) ).
fof(f3287,plain,
( spl144_367
<=> e23 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_367])]) ).
fof(f16443,plain,
( e20 = e21
| ~ spl144_32
| ~ spl144_66
| ~ spl144_106
| ~ spl144_166
| ~ spl144_367
| ~ spl144_373
| ~ spl144_401
| ~ spl144_485 ),
inference(forward_demodulation,[],[f16442,f16407]) ).
fof(f16407,plain,
( e20 = op2(e21,e20)
| ~ spl144_32
| ~ spl144_66
| ~ spl144_106
| ~ spl144_166
| ~ spl144_373
| ~ spl144_401
| ~ spl144_485 ),
inference(forward_demodulation,[],[f12303,f12890]) ).
fof(f16442,plain,
( e21 = op2(e21,e20)
| ~ spl144_106
| ~ spl144_166
| ~ spl144_367
| ~ spl144_401 ),
inference(forward_demodulation,[],[f3289,f12890]) ).
fof(f3289,plain,
( e23 = op2(e23,e20)
| ~ spl144_367 ),
inference(avatar_component_clause,[],[f3287]) ).
fof(f16369,plain,
( ~ spl144_81
| ~ spl144_108 ),
inference(avatar_split_clause,[],[f16368,f1955,f1832]) ).
fof(f1832,plain,
( spl144_81
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_81])]) ).
fof(f16368,plain,
( ~ sP1
| ~ spl144_108 ),
inference(trivial_inequality_removal,[],[f16367]) ).
fof(f16367,plain,
( e21 != e21
| ~ sP1
| ~ spl144_108 ),
inference(forward_demodulation,[],[f354,f1957]) ).
fof(f354,plain,
( e21 != h1(e12)
| ~ sP1 ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
( ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ~ sP1 ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
( ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f16366,plain,
( ~ spl144_83
| ~ spl144_29 ),
inference(avatar_split_clause,[],[f16365,f1582,f1841]) ).
fof(f1841,plain,
( spl144_83
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_83])]) ).
fof(f1582,plain,
( spl144_29
<=> e20 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_29])]) ).
fof(f16365,plain,
( ~ sP0
| ~ spl144_29 ),
inference(trivial_inequality_removal,[],[f16364]) ).
fof(f16364,plain,
( e20 != e20
| ~ sP0
| ~ spl144_29 ),
inference(forward_demodulation,[],[f359,f1584]) ).
fof(f1584,plain,
( e20 = h1(e13)
| ~ spl144_29 ),
inference(avatar_component_clause,[],[f1582]) ).
fof(f359,plain,
( e20 != h1(e13)
| ~ sP0 ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
( ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| ~ sP0 ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
( ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f16363,plain,
( ~ spl144_79
| ~ spl144_443 ),
inference(avatar_split_clause,[],[f16362,f6907,f1823]) ).
fof(f1823,plain,
( spl144_79
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_79])]) ).
fof(f16362,plain,
( ~ sP2
| ~ spl144_443 ),
inference(trivial_inequality_removal,[],[f16361]) ).
fof(f16361,plain,
( e22 != e22
| ~ sP2
| ~ spl144_443 ),
inference(forward_demodulation,[],[f349,f6909]) ).
fof(f349,plain,
( e22 != h1(e11)
| ~ sP2 ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
( ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ~ sP2 ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
( ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f16360,plain,
( spl144_83
| spl144_81
| spl144_79
| ~ spl144_541
| ~ spl144_29
| ~ spl144_85
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_96
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_165
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_201
| ~ spl144_213
| ~ spl144_258
| ~ spl144_354
| ~ spl144_359
| ~ spl144_364
| ~ spl144_368
| ~ spl144_370
| ~ spl144_373
| ~ spl144_376
| ~ spl144_378
| ~ spl144_382
| ~ spl144_384
| ~ spl144_393
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_424
| ~ spl144_427
| ~ spl144_436
| ~ spl144_443
| ~ spl144_446 ),
inference(avatar_split_clause,[],[f16330,f8434,f6907,f5298,f4509,f4494,f4014,f3705,f3662,f3649,f3479,f3407,f3391,f3360,f3347,f3327,f3309,f3291,f3269,f3231,f3203,f2694,f2465,f2408,f2346,f2308,f2281,f2240,f2235,f2230,f1955,f1946,f1901,f1865,f1860,f1855,f1850,f1582,f13170,f1823,f1832,f1841]) ).
fof(f1855,plain,
( spl144_86
<=> e12 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_86])]) ).
fof(f1860,plain,
( spl144_87
<=> e11 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_87])]) ).
fof(f1865,plain,
( spl144_88
<=> e10 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_88])]) ).
fof(f2230,plain,
( spl144_164
<=> op2(e20,e20) = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_164])]) ).
fof(f2281,plain,
( spl144_174
<=> e20 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_174])]) ).
fof(f2408,plain,
( spl144_201
<=> e11 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_201])]) ).
fof(f2465,plain,
( spl144_213
<=> e10 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_213])]) ).
fof(f3231,plain,
( spl144_359
<=> h1(e10) = op2(h1(e12),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_359])]) ).
fof(f3269,plain,
( spl144_364
<=> e23 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_364])]) ).
fof(f3309,plain,
( spl144_370
<=> e13 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_370])]) ).
fof(f3391,plain,
( spl144_382
<=> e11 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_382])]) ).
fof(f3407,plain,
( spl144_384
<=> e12 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_384])]) ).
fof(f3705,plain,
( spl144_407
<=> e22 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_407])]) ).
fof(f4494,plain,
( spl144_424
<=> op1(e10,e10) = e11 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_424])]) ).
fof(f4509,plain,
( spl144_427
<=> e12 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_427])]) ).
fof(f16330,plain,
( e23 != h1(e10)
| sP2
| sP1
| sP0
| ~ spl144_29
| ~ spl144_85
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_96
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_165
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_201
| ~ spl144_213
| ~ spl144_258
| ~ spl144_354
| ~ spl144_359
| ~ spl144_364
| ~ spl144_368
| ~ spl144_370
| ~ spl144_373
| ~ spl144_376
| ~ spl144_378
| ~ spl144_382
| ~ spl144_384
| ~ spl144_393
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_424
| ~ spl144_427
| ~ spl144_436
| ~ spl144_443
| ~ spl144_446 ),
inference(trivial_inequality_removal,[],[f16329]) ).
fof(f16329,plain,
( e22 != e22
| e23 != h1(e10)
| sP2
| sP1
| sP0
| ~ spl144_29
| ~ spl144_85
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_96
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_165
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_201
| ~ spl144_213
| ~ spl144_258
| ~ spl144_354
| ~ spl144_359
| ~ spl144_364
| ~ spl144_368
| ~ spl144_370
| ~ spl144_373
| ~ spl144_376
| ~ spl144_378
| ~ spl144_382
| ~ spl144_384
| ~ spl144_393
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_424
| ~ spl144_427
| ~ spl144_436
| ~ spl144_443
| ~ spl144_446 ),
inference(forward_demodulation,[],[f16328,f1852]) ).
fof(f16328,plain,
( e22 != op2(e23,e23)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_96
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_165
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_201
| ~ spl144_213
| ~ spl144_258
| ~ spl144_354
| ~ spl144_359
| ~ spl144_364
| ~ spl144_368
| ~ spl144_370
| ~ spl144_373
| ~ spl144_376
| ~ spl144_378
| ~ spl144_382
| ~ spl144_384
| ~ spl144_393
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_424
| ~ spl144_427
| ~ spl144_436
| ~ spl144_443
| ~ spl144_446 ),
inference(forward_demodulation,[],[f16327,f6909]) ).
fof(f16327,plain,
( op2(e23,e23) != h1(e11)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_96
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_165
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_201
| ~ spl144_213
| ~ spl144_258
| ~ spl144_354
| ~ spl144_359
| ~ spl144_364
| ~ spl144_368
| ~ spl144_370
| ~ spl144_373
| ~ spl144_376
| ~ spl144_378
| ~ spl144_382
| ~ spl144_384
| ~ spl144_393
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_424
| ~ spl144_427
| ~ spl144_436
| ~ spl144_443
| ~ spl144_446 ),
inference(forward_demodulation,[],[f16326,f4496]) ).
fof(f4496,plain,
( op1(e10,e10) = e11
| ~ spl144_424 ),
inference(avatar_component_clause,[],[f4494]) ).
fof(f16326,plain,
( e23 != h1(e10)
| sP2
| sP1
| sP0
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_96
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_165
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_201
| ~ spl144_213
| ~ spl144_258
| ~ spl144_354
| ~ spl144_359
| ~ spl144_364
| ~ spl144_368
| ~ spl144_370
| ~ spl144_373
| ~ spl144_376
| ~ spl144_378
| ~ spl144_382
| ~ spl144_384
| ~ spl144_393
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_427
| ~ spl144_436
| ~ spl144_443
| ~ spl144_446 ),
inference(trivial_inequality_removal,[],[f16325]) ).
fof(f16325,plain,
( e21 != e21
| e23 != h1(e10)
| sP2
| sP1
| sP0
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_96
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_165
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_201
| ~ spl144_213
| ~ spl144_258
| ~ spl144_354
| ~ spl144_359
| ~ spl144_364
| ~ spl144_368
| ~ spl144_370
| ~ spl144_373
| ~ spl144_376
| ~ spl144_378
| ~ spl144_382
| ~ spl144_384
| ~ spl144_393
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_427
| ~ spl144_436
| ~ spl144_443
| ~ spl144_446 ),
inference(forward_demodulation,[],[f16324,f2696]) ).
fof(f16324,plain,
( e21 != op2(e23,e22)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_96
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_165
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_201
| ~ spl144_213
| ~ spl144_354
| ~ spl144_359
| ~ spl144_364
| ~ spl144_368
| ~ spl144_370
| ~ spl144_373
| ~ spl144_376
| ~ spl144_378
| ~ spl144_382
| ~ spl144_384
| ~ spl144_393
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_427
| ~ spl144_436
| ~ spl144_443
| ~ spl144_446 ),
inference(forward_demodulation,[],[f16323,f1957]) ).
fof(f16323,plain,
( op2(e23,e22) != h1(e12)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_96
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_165
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_201
| ~ spl144_213
| ~ spl144_354
| ~ spl144_359
| ~ spl144_364
| ~ spl144_368
| ~ spl144_370
| ~ spl144_373
| ~ spl144_376
| ~ spl144_378
| ~ spl144_382
| ~ spl144_384
| ~ spl144_393
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_427
| ~ spl144_436
| ~ spl144_443
| ~ spl144_446 ),
inference(forward_demodulation,[],[f16322,f3409]) ).
fof(f3409,plain,
( e12 = op1(e10,e11)
| ~ spl144_384 ),
inference(avatar_component_clause,[],[f3407]) ).
fof(f16322,plain,
( op2(e23,e22) != h1(op1(e10,e11))
| e23 != h1(e10)
| sP2
| sP1
| sP0
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_96
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_165
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_201
| ~ spl144_213
| ~ spl144_354
| ~ spl144_359
| ~ spl144_364
| ~ spl144_368
| ~ spl144_370
| ~ spl144_373
| ~ spl144_376
| ~ spl144_378
| ~ spl144_382
| ~ spl144_393
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_427
| ~ spl144_436
| ~ spl144_443
| ~ spl144_446 ),
inference(forward_demodulation,[],[f16321,f6909]) ).
fof(f16321,plain,
( e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_96
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_165
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_201
| ~ spl144_213
| ~ spl144_354
| ~ spl144_359
| ~ spl144_364
| ~ spl144_368
| ~ spl144_370
| ~ spl144_373
| ~ spl144_376
| ~ spl144_378
| ~ spl144_382
| ~ spl144_393
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_427
| ~ spl144_436
| ~ spl144_443
| ~ spl144_446 ),
inference(duplicate_literal_removal,[],[f16320]) ).
fof(f16320,plain,
( e23 != h1(e10)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_96
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_165
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_201
| ~ spl144_213
| ~ spl144_354
| ~ spl144_359
| ~ spl144_364
| ~ spl144_368
| ~ spl144_370
| ~ spl144_373
| ~ spl144_376
| ~ spl144_378
| ~ spl144_382
| ~ spl144_393
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_427
| ~ spl144_436
| ~ spl144_443
| ~ spl144_446 ),
inference(forward_demodulation,[],[f16319,f3293]) ).
fof(f16319,plain,
( op2(e23,e21) != h1(e10)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_96
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_165
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_201
| ~ spl144_213
| ~ spl144_354
| ~ spl144_359
| ~ spl144_364
| ~ spl144_370
| ~ spl144_373
| ~ spl144_376
| ~ spl144_378
| ~ spl144_382
| ~ spl144_393
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_427
| ~ spl144_436
| ~ spl144_443
| ~ spl144_446 ),
inference(forward_demodulation,[],[f16318,f2467]) ).
fof(f2467,plain,
( e10 = op1(e10,e12)
| ~ spl144_213 ),
inference(avatar_component_clause,[],[f2465]) ).
fof(f16318,plain,
( op2(e23,e21) != h1(op1(e10,e12))
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_96
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_165
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_201
| ~ spl144_354
| ~ spl144_359
| ~ spl144_364
| ~ spl144_370
| ~ spl144_373
| ~ spl144_376
| ~ spl144_378
| ~ spl144_382
| ~ spl144_393
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_427
| ~ spl144_436
| ~ spl144_443
| ~ spl144_446 ),
inference(forward_demodulation,[],[f16317,f1957]) ).
fof(f16317,plain,
( e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_96
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_165
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_201
| ~ spl144_354
| ~ spl144_359
| ~ spl144_364
| ~ spl144_370
| ~ spl144_373
| ~ spl144_376
| ~ spl144_378
| ~ spl144_382
| ~ spl144_393
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_427
| ~ spl144_436
| ~ spl144_443
| ~ spl144_446 ),
inference(trivial_inequality_removal,[],[f16316]) ).
fof(f16316,plain,
( e20 != e20
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_96
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_165
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_201
| ~ spl144_354
| ~ spl144_359
| ~ spl144_364
| ~ spl144_370
| ~ spl144_373
| ~ spl144_376
| ~ spl144_378
| ~ spl144_382
| ~ spl144_393
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_427
| ~ spl144_436
| ~ spl144_443
| ~ spl144_446 ),
inference(forward_demodulation,[],[f16315,f8436]) ).
fof(f16315,plain,
( e20 != op2(e23,e20)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_96
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_165
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_201
| ~ spl144_354
| ~ spl144_359
| ~ spl144_364
| ~ spl144_370
| ~ spl144_373
| ~ spl144_376
| ~ spl144_378
| ~ spl144_382
| ~ spl144_393
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_427
| ~ spl144_436
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16314,f1584]) ).
fof(f16314,plain,
( op2(e23,e20) != h1(e13)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_96
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_165
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_201
| ~ spl144_354
| ~ spl144_359
| ~ spl144_364
| ~ spl144_370
| ~ spl144_373
| ~ spl144_376
| ~ spl144_378
| ~ spl144_382
| ~ spl144_393
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_427
| ~ spl144_436
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16313,f3311]) ).
fof(f3311,plain,
( e13 = op1(e10,e13)
| ~ spl144_370 ),
inference(avatar_component_clause,[],[f3309]) ).
fof(f16313,plain,
( op2(e23,e20) != h1(op1(e10,e13))
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_96
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_165
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_201
| ~ spl144_354
| ~ spl144_359
| ~ spl144_364
| ~ spl144_373
| ~ spl144_376
| ~ spl144_378
| ~ spl144_382
| ~ spl144_393
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_427
| ~ spl144_436
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16312,f1584]) ).
fof(f16312,plain,
( e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_96
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_165
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_201
| ~ spl144_354
| ~ spl144_359
| ~ spl144_364
| ~ spl144_373
| ~ spl144_376
| ~ spl144_378
| ~ spl144_382
| ~ spl144_393
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_427
| ~ spl144_436
| ~ spl144_443 ),
inference(trivial_inequality_removal,[],[f16311]) ).
fof(f16311,plain,
( e21 != e21
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_96
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_165
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_201
| ~ spl144_354
| ~ spl144_359
| ~ spl144_364
| ~ spl144_373
| ~ spl144_376
| ~ spl144_378
| ~ spl144_382
| ~ spl144_393
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_427
| ~ spl144_436
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16310,f3481]) ).
fof(f16310,plain,
( e21 != op2(e22,e23)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_96
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_165
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_201
| ~ spl144_354
| ~ spl144_359
| ~ spl144_364
| ~ spl144_373
| ~ spl144_376
| ~ spl144_378
| ~ spl144_382
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_427
| ~ spl144_436
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16309,f1957]) ).
fof(f16309,plain,
( op2(e22,e23) != h1(e12)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_96
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_165
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_201
| ~ spl144_354
| ~ spl144_359
| ~ spl144_364
| ~ spl144_373
| ~ spl144_376
| ~ spl144_378
| ~ spl144_382
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_427
| ~ spl144_436
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16308,f4511]) ).
fof(f4511,plain,
( e12 = op1(e11,e10)
| ~ spl144_427 ),
inference(avatar_component_clause,[],[f4509]) ).
fof(f16308,plain,
( op2(e22,e23) != h1(op1(e11,e10))
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_96
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_165
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_201
| ~ spl144_354
| ~ spl144_359
| ~ spl144_364
| ~ spl144_373
| ~ spl144_376
| ~ spl144_378
| ~ spl144_382
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_436
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16307,f6909]) ).
fof(f16307,plain,
( e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_96
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_165
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_201
| ~ spl144_354
| ~ spl144_359
| ~ spl144_364
| ~ spl144_373
| ~ spl144_376
| ~ spl144_378
| ~ spl144_382
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_436
| ~ spl144_443 ),
inference(trivial_inequality_removal,[],[f16306]) ).
fof(f16306,plain,
( e22 != e22
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_96
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_165
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_201
| ~ spl144_354
| ~ spl144_359
| ~ spl144_364
| ~ spl144_373
| ~ spl144_376
| ~ spl144_378
| ~ spl144_382
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_436
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16305,f1902]) ).
fof(f16305,plain,
( e22 != h3(e12)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_165
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_201
| ~ spl144_354
| ~ spl144_359
| ~ spl144_364
| ~ spl144_373
| ~ spl144_376
| ~ spl144_378
| ~ spl144_382
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_436
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16304,f2237]) ).
fof(f16304,plain,
( e22 != op2(e22,e22)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_201
| ~ spl144_354
| ~ spl144_359
| ~ spl144_364
| ~ spl144_373
| ~ spl144_376
| ~ spl144_378
| ~ spl144_382
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_436
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16303,f6909]) ).
fof(f16303,plain,
( op2(e22,e22) != h1(e11)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_201
| ~ spl144_354
| ~ spl144_359
| ~ spl144_364
| ~ spl144_373
| ~ spl144_376
| ~ spl144_378
| ~ spl144_382
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_436
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16302,f2410]) ).
fof(f2410,plain,
( e11 = op1(e11,e11)
| ~ spl144_201 ),
inference(avatar_component_clause,[],[f2408]) ).
fof(f16302,plain,
( op2(e22,e22) != h1(op1(e11,e11))
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_354
| ~ spl144_359
| ~ spl144_364
| ~ spl144_373
| ~ spl144_376
| ~ spl144_378
| ~ spl144_382
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_436
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16301,f6909]) ).
fof(f16301,plain,
( e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_354
| ~ spl144_359
| ~ spl144_364
| ~ spl144_373
| ~ spl144_376
| ~ spl144_378
| ~ spl144_382
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_436
| ~ spl144_443 ),
inference(trivial_inequality_removal,[],[f16300]) ).
fof(f16300,plain,
( e20 != e20
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_354
| ~ spl144_359
| ~ spl144_364
| ~ spl144_373
| ~ spl144_376
| ~ spl144_378
| ~ spl144_382
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_436
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16299,f3205]) ).
fof(f16299,plain,
( e20 != op2(e22,e21)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_359
| ~ spl144_364
| ~ spl144_373
| ~ spl144_376
| ~ spl144_378
| ~ spl144_382
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_436
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16298,f1584]) ).
fof(f16298,plain,
( op2(e22,e21) != h1(e13)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_359
| ~ spl144_364
| ~ spl144_373
| ~ spl144_376
| ~ spl144_378
| ~ spl144_382
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_436
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16297,f3349]) ).
fof(f16297,plain,
( op2(e22,e21) != h1(op1(e11,e12))
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_359
| ~ spl144_364
| ~ spl144_373
| ~ spl144_378
| ~ spl144_382
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_436
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16296,f6909]) ).
fof(f16296,plain,
( h1(op1(e11,e12)) != op2(h1(e11),e21)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_359
| ~ spl144_364
| ~ spl144_373
| ~ spl144_378
| ~ spl144_382
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_436
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16295,f1957]) ).
fof(f16295,plain,
( e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_359
| ~ spl144_364
| ~ spl144_373
| ~ spl144_378
| ~ spl144_382
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_436
| ~ spl144_443 ),
inference(duplicate_literal_removal,[],[f16294]) ).
fof(f16294,plain,
( e23 != h1(e10)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_359
| ~ spl144_364
| ~ spl144_373
| ~ spl144_378
| ~ spl144_382
| ~ spl144_402
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_436
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16293,f3651]) ).
fof(f3651,plain,
( e23 = op2(e22,e20)
| ~ spl144_402 ),
inference(avatar_component_clause,[],[f3649]) ).
fof(f16293,plain,
( op2(e22,e20) != h1(e10)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_359
| ~ spl144_364
| ~ spl144_373
| ~ spl144_378
| ~ spl144_382
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_436
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16292,f5300]) ).
fof(f16292,plain,
( op2(e22,e20) != h1(op1(e11,e13))
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_359
| ~ spl144_364
| ~ spl144_373
| ~ spl144_378
| ~ spl144_382
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16291,f6909]) ).
fof(f16291,plain,
( h1(op1(e11,e13)) != op2(h1(e11),e20)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_359
| ~ spl144_364
| ~ spl144_373
| ~ spl144_378
| ~ spl144_382
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16290,f1584]) ).
fof(f16290,plain,
( e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_359
| ~ spl144_364
| ~ spl144_373
| ~ spl144_378
| ~ spl144_382
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_443 ),
inference(trivial_inequality_removal,[],[f16289]) ).
fof(f16289,plain,
( e20 != e20
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_359
| ~ spl144_364
| ~ spl144_373
| ~ spl144_378
| ~ spl144_382
| ~ spl144_404
| ~ spl144_407
| ~ spl144_410
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16288,f4016]) ).
fof(f16288,plain,
( e20 != op2(e21,e23)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_359
| ~ spl144_364
| ~ spl144_373
| ~ spl144_378
| ~ spl144_382
| ~ spl144_404
| ~ spl144_407
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16287,f1584]) ).
fof(f16287,plain,
( op2(e21,e23) != h1(e13)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_359
| ~ spl144_364
| ~ spl144_373
| ~ spl144_378
| ~ spl144_382
| ~ spl144_404
| ~ spl144_407
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16286,f3362]) ).
fof(f16286,plain,
( op2(e21,e23) != h1(op1(e12,e10))
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_359
| ~ spl144_364
| ~ spl144_373
| ~ spl144_382
| ~ spl144_404
| ~ spl144_407
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16285,f1957]) ).
fof(f16285,plain,
( e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_359
| ~ spl144_364
| ~ spl144_373
| ~ spl144_382
| ~ spl144_404
| ~ spl144_407
| ~ spl144_443 ),
inference(trivial_inequality_removal,[],[f16284]) ).
fof(f16284,plain,
( h1(e10) != h1(e10)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_88
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_359
| ~ spl144_364
| ~ spl144_373
| ~ spl144_382
| ~ spl144_404
| ~ spl144_407
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16283,f1867]) ).
fof(f1867,plain,
( e10 = op1(e12,e11)
| ~ spl144_88 ),
inference(avatar_component_clause,[],[f1865]) ).
fof(f16283,plain,
( h1(e10) != h1(op1(e12,e11))
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_359
| ~ spl144_364
| ~ spl144_373
| ~ spl144_382
| ~ spl144_404
| ~ spl144_407
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16282,f3233]) ).
fof(f3233,plain,
( h1(e10) = op2(h1(e12),h1(e11))
| ~ spl144_359 ),
inference(avatar_component_clause,[],[f3231]) ).
fof(f16282,plain,
( e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_364
| ~ spl144_373
| ~ spl144_382
| ~ spl144_404
| ~ spl144_407
| ~ spl144_443 ),
inference(trivial_inequality_removal,[],[f16281]) ).
fof(f16281,plain,
( e21 != e21
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_106
| ~ spl144_108
| ~ spl144_164
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_364
| ~ spl144_373
| ~ spl144_382
| ~ spl144_404
| ~ spl144_407
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16280,f1947]) ).
fof(f16280,plain,
( e21 != h2(e12)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_108
| ~ spl144_164
| ~ spl144_166
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_364
| ~ spl144_373
| ~ spl144_382
| ~ spl144_404
| ~ spl144_407
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16279,f2242]) ).
fof(f16279,plain,
( e21 != op2(e21,e21)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_108
| ~ spl144_164
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_364
| ~ spl144_373
| ~ spl144_382
| ~ spl144_404
| ~ spl144_407
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16278,f1957]) ).
fof(f16278,plain,
( op2(e21,e21) != h1(e12)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_108
| ~ spl144_164
| ~ spl144_174
| ~ spl144_180
| ~ spl144_188
| ~ spl144_364
| ~ spl144_373
| ~ spl144_382
| ~ spl144_404
| ~ spl144_407
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16277,f2348]) ).
fof(f16277,plain,
( op2(e21,e21) != h1(op1(e12,e12))
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_108
| ~ spl144_164
| ~ spl144_174
| ~ spl144_180
| ~ spl144_364
| ~ spl144_373
| ~ spl144_382
| ~ spl144_404
| ~ spl144_407
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16276,f1957]) ).
fof(f16276,plain,
( e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_108
| ~ spl144_164
| ~ spl144_174
| ~ spl144_180
| ~ spl144_364
| ~ spl144_373
| ~ spl144_382
| ~ spl144_404
| ~ spl144_407
| ~ spl144_443 ),
inference(trivial_inequality_removal,[],[f16275]) ).
fof(f16275,plain,
( e22 != e22
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_108
| ~ spl144_164
| ~ spl144_174
| ~ spl144_180
| ~ spl144_364
| ~ spl144_373
| ~ spl144_382
| ~ spl144_404
| ~ spl144_407
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16274,f3707]) ).
fof(f3707,plain,
( e22 = op2(e21,e20)
| ~ spl144_407 ),
inference(avatar_component_clause,[],[f3705]) ).
fof(f16274,plain,
( e22 != op2(e21,e20)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_108
| ~ spl144_164
| ~ spl144_174
| ~ spl144_180
| ~ spl144_364
| ~ spl144_373
| ~ spl144_382
| ~ spl144_404
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16273,f6909]) ).
fof(f16273,plain,
( op2(e21,e20) != h1(e11)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_108
| ~ spl144_164
| ~ spl144_174
| ~ spl144_180
| ~ spl144_364
| ~ spl144_373
| ~ spl144_382
| ~ spl144_404
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16272,f3393]) ).
fof(f3393,plain,
( e11 = op1(e12,e13)
| ~ spl144_382 ),
inference(avatar_component_clause,[],[f3391]) ).
fof(f16272,plain,
( op2(e21,e20) != h1(op1(e12,e13))
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_108
| ~ spl144_164
| ~ spl144_174
| ~ spl144_180
| ~ spl144_364
| ~ spl144_373
| ~ spl144_404
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16271,f1957]) ).
fof(f16271,plain,
( h1(op1(e12,e13)) != op2(h1(e12),e20)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_108
| ~ spl144_164
| ~ spl144_174
| ~ spl144_180
| ~ spl144_364
| ~ spl144_373
| ~ spl144_404
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16270,f1584]) ).
fof(f16270,plain,
( e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_108
| ~ spl144_164
| ~ spl144_174
| ~ spl144_180
| ~ spl144_364
| ~ spl144_373
| ~ spl144_404
| ~ spl144_443 ),
inference(duplicate_literal_removal,[],[f16269]) ).
fof(f16269,plain,
( e23 != h1(e10)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_108
| ~ spl144_164
| ~ spl144_174
| ~ spl144_180
| ~ spl144_364
| ~ spl144_373
| ~ spl144_404
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16268,f3271]) ).
fof(f3271,plain,
( e23 = op2(e20,e23)
| ~ spl144_364 ),
inference(avatar_component_clause,[],[f3269]) ).
fof(f16268,plain,
( op2(e20,e23) != h1(e10)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_108
| ~ spl144_164
| ~ spl144_174
| ~ spl144_180
| ~ spl144_373
| ~ spl144_404
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16267,f3329]) ).
fof(f16267,plain,
( op2(e20,e23) != h1(op1(e13,e10))
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_108
| ~ spl144_164
| ~ spl144_174
| ~ spl144_180
| ~ spl144_404
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16266,f1584]) ).
fof(f16266,plain,
( e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e13,e10)) != op2(h1(e13),e23)
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_108
| ~ spl144_164
| ~ spl144_174
| ~ spl144_180
| ~ spl144_404
| ~ spl144_443 ),
inference(trivial_inequality_removal,[],[f16265]) ).
fof(f16265,plain,
( e20 != e20
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e13,e10)) != op2(h1(e13),e23)
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_108
| ~ spl144_164
| ~ spl144_174
| ~ spl144_180
| ~ spl144_404
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16264,f2283]) ).
fof(f2283,plain,
( e20 = op2(e20,e22)
| ~ spl144_174 ),
inference(avatar_component_clause,[],[f2281]) ).
fof(f16264,plain,
( e20 != op2(e20,e22)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e13,e10)) != op2(h1(e13),e23)
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_108
| ~ spl144_164
| ~ spl144_180
| ~ spl144_404
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16263,f1584]) ).
fof(f16263,plain,
( op2(e20,e22) != h1(e13)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e13,e10)) != op2(h1(e13),e23)
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_108
| ~ spl144_164
| ~ spl144_180
| ~ spl144_404
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16262,f2310]) ).
fof(f16262,plain,
( op2(e20,e22) != h1(op1(e13,e11))
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e13,e10)) != op2(h1(e13),e23)
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_108
| ~ spl144_164
| ~ spl144_404
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16261,f1584]) ).
fof(f16261,plain,
( h1(op1(e13,e11)) != op2(h1(e13),e22)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e13,e10)) != op2(h1(e13),e23)
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_108
| ~ spl144_164
| ~ spl144_404
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16260,f6909]) ).
fof(f16260,plain,
( e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),e23)
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_108
| ~ spl144_164
| ~ spl144_404
| ~ spl144_443 ),
inference(trivial_inequality_removal,[],[f16259]) ).
fof(f16259,plain,
( e22 != e22
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),e23)
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_108
| ~ spl144_164
| ~ spl144_404
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16258,f3664]) ).
fof(f16258,plain,
( e22 != op2(e20,e21)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),e23)
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_108
| ~ spl144_164
| ~ spl144_443 ),
inference(forward_demodulation,[],[f16257,f6909]) ).
fof(f16257,plain,
( op2(e20,e21) != h1(e11)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),e23)
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_87
| ~ spl144_108
| ~ spl144_164 ),
inference(forward_demodulation,[],[f16256,f1862]) ).
fof(f1862,plain,
( e11 = op1(e13,e12)
| ~ spl144_87 ),
inference(avatar_component_clause,[],[f1860]) ).
fof(f16256,plain,
( op2(e20,e21) != h1(op1(e13,e12))
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),e23)
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_108
| ~ spl144_164 ),
inference(forward_demodulation,[],[f16255,f1584]) ).
fof(f16255,plain,
( h1(op1(e13,e12)) != op2(h1(e13),e21)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),e23)
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_108
| ~ spl144_164 ),
inference(forward_demodulation,[],[f16254,f1957]) ).
fof(f16254,plain,
( e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),e23)
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_108
| ~ spl144_164 ),
inference(trivial_inequality_removal,[],[f16253]) ).
fof(f16253,plain,
( e21 != e21
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),e23)
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_108
| ~ spl144_164 ),
inference(forward_demodulation,[],[f16252,f1957]) ).
fof(f16252,plain,
( e21 != h1(e12)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),e23)
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_108
| ~ spl144_164 ),
inference(forward_demodulation,[],[f16251,f2232]) ).
fof(f2232,plain,
( op2(e20,e20) = h1(e12)
| ~ spl144_164 ),
inference(avatar_component_clause,[],[f2230]) ).
fof(f16251,plain,
( op2(e20,e20) != e21
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),e23)
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86
| ~ spl144_108 ),
inference(forward_demodulation,[],[f16250,f1957]) ).
fof(f16250,plain,
( op2(e20,e20) != h1(e12)
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),e23)
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29
| ~ spl144_86 ),
inference(forward_demodulation,[],[f16249,f1857]) ).
fof(f1857,plain,
( e12 = op1(e13,e13)
| ~ spl144_86 ),
inference(avatar_component_clause,[],[f1855]) ).
fof(f16249,plain,
( op2(e20,e20) != h1(op1(e13,e13))
| e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),e23)
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10))
| ~ spl144_29 ),
inference(forward_demodulation,[],[f1185,f1584]) ).
fof(f1185,plain,
( e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),e23)
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),e23)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),e23)
| h1(op1(e10,e13)) != op2(e23,h1(e13))
| h1(op1(e10,e12)) != op2(e23,h1(e12))
| h1(op1(e10,e11)) != op2(e23,h1(e11))
| op2(e23,e23) != h1(op1(e10,e10)) ),
inference(inner_rewriting,[],[f360]) ).
fof(f360,plain,
( e23 != h1(e10)
| sP2
| sP1
| sP0
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| sP11
| sP10
| sP9
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e10) )
| sP8
| sP7
| sP6
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) )
| sP5
| sP4
| sP3
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10) )
| sP2
| sP1
| sP0
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(definition_folding,[],[f20,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f24,plain,
( ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f25,plain,
( ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f26,plain,
( ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f27,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f28,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f29,plain,
( ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f30,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f31,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f32,plain,
( ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f20,plain,
( ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e10) )
| ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) )
| ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10) )
| ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,negated_conjecture,
~ ( ( ( e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e10) )
& ( e22 = h4(e13)
| e22 = h4(e12)
| e22 = h4(e11)
| e22 = h4(e10) )
& ( e21 = h4(e13)
| e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e10) )
& ( e20 = h4(e13)
| e20 = h4(e12)
| e20 = h4(e11)
| e20 = h4(e10) )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( e23 = h3(e13)
| e23 = h3(e12)
| e23 = h3(e11)
| e23 = h3(e10) )
& ( e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e10) )
& ( e21 = h3(e13)
| e21 = h3(e12)
| e21 = h3(e11)
| e21 = h3(e10) )
& ( e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e10) )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e11)
| e23 = h2(e10) )
& ( e22 = h2(e13)
| e22 = h2(e12)
| e22 = h2(e11)
| e22 = h2(e10) )
& ( e21 = h2(e13)
| e21 = h2(e12)
| e21 = h2(e11)
| e21 = h2(e10) )
& ( e20 = h2(e13)
| e20 = h2(e12)
| e20 = h2(e11)
| e20 = h2(e10) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( e23 = h1(e13)
| e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e10) )
& ( e22 = h1(e13)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e10) )
& ( e21 = h1(e13)
| e21 = h1(e12)
| e21 = h1(e11)
| e21 = h1(e10) )
& ( e20 = h1(e13)
| e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e10) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
( ( ( e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e10) )
& ( e22 = h4(e13)
| e22 = h4(e12)
| e22 = h4(e11)
| e22 = h4(e10) )
& ( e21 = h4(e13)
| e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e10) )
& ( e20 = h4(e13)
| e20 = h4(e12)
| e20 = h4(e11)
| e20 = h4(e10) )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( e23 = h3(e13)
| e23 = h3(e12)
| e23 = h3(e11)
| e23 = h3(e10) )
& ( e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e10) )
& ( e21 = h3(e13)
| e21 = h3(e12)
| e21 = h3(e11)
| e21 = h3(e10) )
& ( e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e10) )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e11)
| e23 = h2(e10) )
& ( e22 = h2(e13)
| e22 = h2(e12)
| e22 = h2(e11)
| e22 = h2(e10) )
& ( e21 = h2(e13)
| e21 = h2(e12)
| e21 = h2(e11)
| e21 = h2(e10) )
& ( e20 = h2(e13)
| e20 = h2(e12)
| e20 = h2(e11)
| e20 = h2(e10) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( e23 = h1(e13)
| e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e10) )
& ( e22 = h1(e13)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e10) )
& ( e21 = h1(e13)
| e21 = h1(e12)
| e21 = h1(e11)
| e21 = h1(e10) )
& ( e20 = h1(e13)
| e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e10) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f16359,plain,
( ~ spl144_395
| ~ spl144_201
| ~ spl144_352
| spl144_466 ),
inference(avatar_split_clause,[],[f16343,f12078,f3191,f2408,f3500]) ).
fof(f12078,plain,
( spl144_466
<=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_466])]) ).
fof(f16343,plain,
( e21 != op2(e21,e21)
| ~ spl144_201
| ~ spl144_352
| spl144_466 ),
inference(forward_demodulation,[],[f16342,f3193]) ).
fof(f16342,plain,
( op2(e21,e21) != h4(e11)
| ~ spl144_201
| ~ spl144_352
| spl144_466 ),
inference(forward_demodulation,[],[f15095,f2410]) ).
fof(f15095,plain,
( op2(e21,e21) != h4(op1(e11,e11))
| ~ spl144_352
| spl144_466 ),
inference(forward_demodulation,[],[f12080,f3193]) ).
fof(f12080,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| spl144_466 ),
inference(avatar_component_clause,[],[f12078]) ).
fof(f16352,plain,
( spl144_395
| ~ spl144_108
| ~ spl144_188
| ~ spl144_622 ),
inference(avatar_split_clause,[],[f16119,f16042,f2346,f1955,f3500]) ).
fof(f16341,plain,
( ~ spl144_61
| ~ spl144_168 ),
inference(avatar_split_clause,[],[f16340,f2251,f1742]) ).
fof(f1742,plain,
( spl144_61
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_61])]) ).
fof(f16340,plain,
( ~ sP11
| ~ spl144_168 ),
inference(trivial_inequality_removal,[],[f16339]) ).
fof(f16339,plain,
( e22 != e22
| ~ sP11
| ~ spl144_168 ),
inference(forward_demodulation,[],[f314,f2253]) ).
fof(f314,plain,
( e22 != h4(e12)
| ~ sP11 ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
( ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ~ sP11 ),
inference(nnf_transformation,[],[f32]) ).
fof(f16337,plain,
( ~ spl144_63
| ~ spl144_352 ),
inference(avatar_split_clause,[],[f16248,f3191,f1751]) ).
fof(f1751,plain,
( spl144_63
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_63])]) ).
fof(f16248,plain,
( ~ sP10
| ~ spl144_352 ),
inference(trivial_inequality_removal,[],[f16247]) ).
fof(f16247,plain,
( e21 != e21
| ~ sP10
| ~ spl144_352 ),
inference(forward_demodulation,[],[f317,f3193]) ).
fof(f317,plain,
( e21 != h4(e11)
| ~ sP10 ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP10 ),
inference(nnf_transformation,[],[f31]) ).
fof(f16246,plain,
( spl144_541
| ~ spl144_388
| ~ spl144_636 ),
inference(avatar_split_clause,[],[f16245,f16241,f3432,f13170]) ).
fof(f3432,plain,
( spl144_388
<=> e23 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_388])]) ).
fof(f16241,plain,
( spl144_636
<=> op2(e21,e22) = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_636])]) ).
fof(f16245,plain,
( e23 = h1(e10)
| ~ spl144_388
| ~ spl144_636 ),
inference(forward_demodulation,[],[f16243,f3434]) ).
fof(f3434,plain,
( e23 = op2(e21,e22)
| ~ spl144_388 ),
inference(avatar_component_clause,[],[f3432]) ).
fof(f16243,plain,
( op2(e21,e22) = h1(e10)
| ~ spl144_636 ),
inference(avatar_component_clause,[],[f16241]) ).
fof(f16244,plain,
( spl144_636
| ~ spl144_108
| ~ spl144_348
| ~ spl144_359
| ~ spl144_404 ),
inference(avatar_split_clause,[],[f11541,f3662,f3231,f3169,f1955,f16241]) ).
fof(f3169,plain,
( spl144_348
<=> h1(e11) = op2(e20,h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_348])]) ).
fof(f11541,plain,
( op2(e21,e22) = h1(e10)
| ~ spl144_108
| ~ spl144_348
| ~ spl144_359
| ~ spl144_404 ),
inference(forward_demodulation,[],[f3998,f10024]) ).
fof(f10024,plain,
( e22 = h1(e11)
| ~ spl144_108
| ~ spl144_348
| ~ spl144_404 ),
inference(forward_demodulation,[],[f9856,f3664]) ).
fof(f9856,plain,
( op2(e20,e21) = h1(e11)
| ~ spl144_108
| ~ spl144_348 ),
inference(superposition,[],[f3171,f1957]) ).
fof(f3171,plain,
( h1(e11) = op2(e20,h1(e12))
| ~ spl144_348 ),
inference(avatar_component_clause,[],[f3169]) ).
fof(f3998,plain,
( h1(e10) = op2(e21,h1(e11))
| ~ spl144_108
| ~ spl144_359 ),
inference(superposition,[],[f3233,f1957]) ).
fof(f16238,plain,
( ~ spl144_431
| spl144_301
| ~ spl144_436 ),
inference(avatar_split_clause,[],[f15202,f5298,f2921,f5076]) ).
fof(f5076,plain,
( spl144_431
<=> e10 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_431])]) ).
fof(f2921,plain,
( spl144_301
<=> op1(e11,e12) = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_301])]) ).
fof(f15202,plain,
( e10 != op1(e11,e12)
| spl144_301
| ~ spl144_436 ),
inference(superposition,[],[f2923,f5300]) ).
fof(f2923,plain,
( op1(e11,e12) != op1(e11,e13)
| spl144_301 ),
inference(avatar_component_clause,[],[f2921]) ).
fof(f16236,plain,
( spl144_24
| ~ spl144_376
| ~ spl144_436
| ~ spl144_459 ),
inference(avatar_split_clause,[],[f16231,f12014,f5298,f3347,f1557]) ).
fof(f1557,plain,
( spl144_24
<=> e10 = e12 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_24])]) ).
fof(f12014,plain,
( spl144_459
<=> e12 = op1(e11,op1(e11,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_459])]) ).
fof(f16231,plain,
( e10 = e12
| ~ spl144_376
| ~ spl144_436
| ~ spl144_459 ),
inference(forward_demodulation,[],[f13153,f5300]) ).
fof(f13153,plain,
( e12 = op1(e11,e13)
| ~ spl144_376
| ~ spl144_459 ),
inference(superposition,[],[f12016,f3349]) ).
fof(f12016,plain,
( e12 = op1(e11,op1(e11,e12))
| ~ spl144_459 ),
inference(avatar_component_clause,[],[f12014]) ).
fof(f16234,plain,
( spl144_25
| ~ spl144_376
| ~ spl144_431 ),
inference(avatar_split_clause,[],[f16218,f5076,f3347,f1562]) ).
fof(f1562,plain,
( spl144_25
<=> e10 = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_25])]) ).
fof(f16218,plain,
( e10 = e13
| ~ spl144_376
| ~ spl144_431 ),
inference(superposition,[],[f5078,f3349]) ).
fof(f5078,plain,
( e10 = op1(e11,e12)
| ~ spl144_431 ),
inference(avatar_component_clause,[],[f5076]) ).
fof(f16230,plain,
( ~ spl144_427
| ~ spl144_431
| spl144_459 ),
inference(avatar_split_clause,[],[f12038,f12014,f5076,f4509]) ).
fof(f12038,plain,
( e12 != op1(e11,e10)
| ~ spl144_431
| spl144_459 ),
inference(forward_demodulation,[],[f12015,f5078]) ).
fof(f12015,plain,
( e12 != op1(e11,op1(e11,e12))
| spl144_459 ),
inference(avatar_component_clause,[],[f12014]) ).
fof(f16214,plain,
( spl144_431
| ~ spl144_427
| ~ spl144_457 ),
inference(avatar_split_clause,[],[f15341,f12006,f4509,f5076]) ).
fof(f15341,plain,
( e10 = op1(e11,e12)
| ~ spl144_427
| ~ spl144_457 ),
inference(superposition,[],[f12008,f4511]) ).
fof(f16212,plain,
( ~ spl144_428
| spl144_292
| ~ spl144_370 ),
inference(avatar_split_clause,[],[f15145,f3309,f2876,f4516]) ).
fof(f4516,plain,
( spl144_428
<=> op1(e10,e10) = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_428])]) ).
fof(f2876,plain,
( spl144_292
<=> op1(e10,e10) = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_292])]) ).
fof(f15145,plain,
( op1(e10,e10) != e13
| spl144_292
| ~ spl144_370 ),
inference(superposition,[],[f2878,f3311]) ).
fof(f2878,plain,
( op1(e10,e10) != op1(e10,e13)
| spl144_292 ),
inference(avatar_component_clause,[],[f2876]) ).
fof(f16210,plain,
( ~ spl144_201
| ~ spl144_201
| spl144_458 ),
inference(avatar_split_clause,[],[f14444,f12010,f2408,f2408]) ).
fof(f12010,plain,
( spl144_458
<=> e11 = op1(e11,op1(e11,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_458])]) ).
fof(f14444,plain,
( e11 != op1(e11,e11)
| ~ spl144_201
| spl144_458 ),
inference(superposition,[],[f12011,f2410]) ).
fof(f12011,plain,
( e11 != op1(e11,op1(e11,e11))
| spl144_458 ),
inference(avatar_component_clause,[],[f12010]) ).
fof(f16208,plain,
( ~ spl144_258
| ~ spl144_68
| spl144_445 ),
inference(avatar_split_clause,[],[f14440,f7846,f1773,f2694]) ).
fof(f1773,plain,
( spl144_68
<=> e22 = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_68])]) ).
fof(f7846,plain,
( spl144_445
<=> e21 = op2(e23,h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_445])]) ).
fof(f14440,plain,
( e21 != op2(e23,e22)
| ~ spl144_68
| spl144_445 ),
inference(superposition,[],[f7847,f1774]) ).
fof(f1774,plain,
( e22 = h3(e10)
| ~ spl144_68 ),
inference(avatar_component_clause,[],[f1773]) ).
fof(f7847,plain,
( e21 != op2(e23,h3(e10))
| spl144_445 ),
inference(avatar_component_clause,[],[f7846]) ).
fof(f16206,plain,
( ~ spl144_429
| spl144_297
| ~ spl144_376 ),
inference(avatar_split_clause,[],[f14411,f3347,f2901,f4520]) ).
fof(f4520,plain,
( spl144_429
<=> e13 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_429])]) ).
fof(f2901,plain,
( spl144_297
<=> op1(e11,e10) = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_297])]) ).
fof(f14411,plain,
( e13 != op1(e11,e10)
| spl144_297
| ~ spl144_376 ),
inference(superposition,[],[f2903,f3349]) ).
fof(f2903,plain,
( op1(e11,e10) != op1(e11,e12)
| spl144_297 ),
inference(avatar_component_clause,[],[f2901]) ).
fof(f16204,plain,
( ~ spl144_400
| spl144_325
| ~ spl144_368 ),
inference(avatar_split_clause,[],[f10140,f3291,f3050,f3562]) ).
fof(f3562,plain,
( spl144_400
<=> e23 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_400])]) ).
fof(f3050,plain,
( spl144_325
<=> op2(e20,e21) = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_325])]) ).
fof(f10140,plain,
( e23 != op2(e20,e21)
| spl144_325
| ~ spl144_368 ),
inference(superposition,[],[f3052,f3293]) ).
fof(f3052,plain,
( op2(e20,e21) != op2(e23,e21)
| spl144_325 ),
inference(avatar_component_clause,[],[f3050]) ).
fof(f16202,plain,
( ~ spl144_391
| spl144_341
| ~ spl144_393 ),
inference(avatar_split_clause,[],[f7829,f3479,f3132,f3471]) ).
fof(f3132,plain,
( spl144_341
<=> op2(e22,e20) = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_341])]) ).
fof(f7829,plain,
( e21 != op2(e22,e20)
| spl144_341
| ~ spl144_393 ),
inference(superposition,[],[f3134,f3481]) ).
fof(f3134,plain,
( op2(e22,e20) != op2(e22,e23)
| spl144_341 ),
inference(avatar_component_clause,[],[f3132]) ).
fof(f16200,plain,
( ~ spl144_396
| spl144_339
| ~ spl144_410 ),
inference(avatar_split_clause,[],[f6277,f4014,f3122,f3506]) ).
fof(f3506,plain,
( spl144_396
<=> e20 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_396])]) ).
fof(f3122,plain,
( spl144_339
<=> op2(e21,e22) = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_339])]) ).
fof(f6277,plain,
( e20 != op2(e21,e22)
| spl144_339
| ~ spl144_410 ),
inference(superposition,[],[f3124,f4016]) ).
fof(f3124,plain,
( op2(e21,e22) != op2(e21,e23)
| spl144_339 ),
inference(avatar_component_clause,[],[f3122]) ).
fof(f16198,plain,
( ~ spl144_357
| spl144_331
| ~ spl144_410 ),
inference(avatar_split_clause,[],[f6275,f4014,f3082,f3221]) ).
fof(f3221,plain,
( spl144_357
<=> e20 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_357])]) ).
fof(f3082,plain,
( spl144_331
<=> op2(e20,e23) = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_331])]) ).
fof(f6275,plain,
( e20 != op2(e20,e23)
| spl144_331
| ~ spl144_410 ),
inference(superposition,[],[f3084,f4016]) ).
fof(f3084,plain,
( op2(e20,e23) != op2(e21,e23)
| spl144_331 ),
inference(avatar_component_clause,[],[f3082]) ).
fof(f16196,plain,
( ~ spl144_222
| spl144_261
| ~ spl144_373 ),
inference(avatar_split_clause,[],[f5416,f3327,f2712,f2508]) ).
fof(f2508,plain,
( spl144_222
<=> e10 = op1(e10,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_222])]) ).
fof(f2712,plain,
( spl144_261
<=> op1(e10,e10) = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_261])]) ).
fof(f5416,plain,
( e10 != op1(e10,e10)
| spl144_261
| ~ spl144_373 ),
inference(superposition,[],[f2714,f3329]) ).
fof(f2714,plain,
( op1(e10,e10) != op1(e13,e10)
| spl144_261 ),
inference(avatar_component_clause,[],[f2712]) ).
fof(f16194,plain,
( ~ spl144_381
| spl144_305
| ~ spl144_382 ),
inference(avatar_split_clause,[],[f4587,f3391,f2942,f3387]) ).
fof(f2942,plain,
( spl144_305
<=> op1(e12,e10) = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_305])]) ).
fof(f4587,plain,
( e11 != op1(e12,e10)
| spl144_305
| ~ spl144_382 ),
inference(superposition,[],[f2944,f3393]) ).
fof(f2944,plain,
( op1(e12,e10) != op1(e12,e13)
| spl144_305 ),
inference(avatar_component_clause,[],[f2942]) ).
fof(f16192,plain,
( ~ spl144_358
| spl144_333
| ~ spl144_393 ),
inference(avatar_split_clause,[],[f4201,f3479,f3092,f3226]) ).
fof(f3226,plain,
( spl144_358
<=> e21 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_358])]) ).
fof(f3092,plain,
( spl144_333
<=> op2(e21,e23) = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_333])]) ).
fof(f4201,plain,
( e21 != op2(e21,e23)
| spl144_333
| ~ spl144_393 ),
inference(superposition,[],[f3094,f3481]) ).
fof(f3094,plain,
( op2(e21,e23) != op2(e22,e23)
| spl144_333 ),
inference(avatar_component_clause,[],[f3092]) ).
fof(f16189,plain,
( ~ spl144_536
| spl144_263
| ~ spl144_373 ),
inference(avatar_split_clause,[],[f3337,f3327,f2722,f12893]) ).
fof(f12893,plain,
( spl144_536
<=> e10 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_536])]) ).
fof(f2722,plain,
( spl144_263
<=> op1(e11,e10) = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_263])]) ).
fof(f3337,plain,
( e10 != op1(e11,e10)
| spl144_263
| ~ spl144_373 ),
inference(superposition,[],[f2724,f3329]) ).
fof(f2724,plain,
( op1(e11,e10) != op1(e13,e10)
| spl144_263 ),
inference(avatar_component_clause,[],[f2722]) ).
fof(f16186,plain,
( ~ spl144_143
| ~ spl144_106 ),
inference(avatar_split_clause,[],[f16185,f1946,f2125]) ).
fof(f2125,plain,
( spl144_143
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_143])]) ).
fof(f16185,plain,
( ~ sP36
| ~ spl144_106 ),
inference(trivial_inequality_removal,[],[f16184]) ).
fof(f16184,plain,
( e21 != e21
| ~ sP36
| ~ spl144_106 ),
inference(forward_demodulation,[],[f1331,f1947]) ).
fof(f1331,plain,
( e21 != h2(e12)
| ~ sP36 ),
inference(forward_demodulation,[],[f785,f415]) ).
fof(f785,plain,
( e21 != op2(e21,e21)
| ~ sP36 ),
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP36 ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f16183,plain,
( ~ spl144_115
| spl144_3
| ~ spl144_446 ),
inference(avatar_split_clause,[],[f16181,f8434,f1452,f1987]) ).
fof(f1987,plain,
( spl144_115
<=> sP63 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_115])]) ).
fof(f16181,plain,
( e20 = e23
| ~ sP63
| ~ spl144_446 ),
inference(forward_demodulation,[],[f674,f8436]) ).
fof(f674,plain,
( e23 = op2(e23,e20)
| ~ sP63 ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ~ sP63 ),
inference(nnf_transformation,[],[f85]) ).
fof(f85,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ~ sP63 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f16180,plain,
( spl144_163
| spl144_162
| spl144_161
| spl144_160
| spl144_159
| spl144_158
| spl144_157
| spl144_156
| spl144_155
| spl144_154
| spl144_153
| spl144_173
| spl144_152
| spl144_151
| spl144_150
| spl144_149
| spl144_148
| spl144_147
| spl144_146
| spl144_145
| spl144_144
| spl144_143
| spl144_142
| spl144_141
| spl144_140
| spl144_139
| spl144_138
| spl144_171
| spl144_137
| spl144_136
| spl144_135
| spl144_134
| spl144_133
| spl144_132
| spl144_131
| spl144_130
| spl144_129
| spl144_128
| spl144_127
| spl144_126
| spl144_125
| spl144_124
| spl144_123
| spl144_122
| spl144_121
| spl144_120
| spl144_119
| spl144_117
| spl144_115
| spl144_113
| spl144_111
| spl144_109
| spl144_107
| spl144_105
| spl144_103
| spl144_101
| spl144_99
| spl144_97
| spl144_95
| spl144_169
| spl144_93
| spl144_91
| spl144_89
| spl144_118 ),
inference(avatar_split_clause,[],[f1374,f2000,f1870,f1879,f1888,f2259,f1897,f1906,f1915,f1924,f1933,f1942,f1951,f1960,f1969,f1978,f1987,f1996,f2005,f2010,f2015,f2020,f2025,f2030,f2035,f2040,f2045,f2050,f2055,f2060,f2065,f2070,f2075,f2080,f2085,f2090,f2095,f2268,f2100,f2105,f2110,f2115,f2120,f2125,f2130,f2135,f2140,f2145,f2150,f2155,f2160,f2165,f2170,f2277,f2175,f2180,f2185,f2190,f2195,f2200,f2205,f2210,f2215,f2220,f2225]) ).
fof(f2225,plain,
( spl144_163
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_163])]) ).
fof(f2220,plain,
( spl144_162
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_162])]) ).
fof(f2215,plain,
( spl144_161
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_161])]) ).
fof(f2210,plain,
( spl144_160
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_160])]) ).
fof(f2205,plain,
( spl144_159
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_159])]) ).
fof(f2195,plain,
( spl144_157
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_157])]) ).
fof(f2190,plain,
( spl144_156
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_156])]) ).
fof(f2185,plain,
( spl144_155
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_155])]) ).
fof(f2180,plain,
( spl144_154
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_154])]) ).
fof(f2277,plain,
( spl144_173
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_173])]) ).
fof(f2170,plain,
( spl144_152
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_152])]) ).
fof(f2165,plain,
( spl144_151
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_151])]) ).
fof(f2160,plain,
( spl144_150
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_150])]) ).
fof(f2155,plain,
( spl144_149
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_149])]) ).
fof(f2150,plain,
( spl144_148
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_148])]) ).
fof(f2145,plain,
( spl144_147
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_147])]) ).
fof(f2140,plain,
( spl144_146
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_146])]) ).
fof(f2135,plain,
( spl144_145
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_145])]) ).
fof(f2130,plain,
( spl144_144
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_144])]) ).
fof(f2120,plain,
( spl144_142
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_142])]) ).
fof(f2115,plain,
( spl144_141
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_141])]) ).
fof(f2110,plain,
( spl144_140
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_140])]) ).
fof(f2105,plain,
( spl144_139
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_139])]) ).
fof(f2100,plain,
( spl144_138
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_138])]) ).
fof(f2268,plain,
( spl144_171
<=> sP42 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_171])]) ).
fof(f2095,plain,
( spl144_137
<=> sP43 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_137])]) ).
fof(f2090,plain,
( spl144_136
<=> sP44 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_136])]) ).
fof(f2085,plain,
( spl144_135
<=> sP45 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_135])]) ).
fof(f2080,plain,
( spl144_134
<=> sP46 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_134])]) ).
fof(f2075,plain,
( spl144_133
<=> sP47 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_133])]) ).
fof(f2070,plain,
( spl144_132
<=> sP48 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_132])]) ).
fof(f2065,plain,
( spl144_131
<=> sP49 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_131])]) ).
fof(f2060,plain,
( spl144_130
<=> sP50 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_130])]) ).
fof(f2045,plain,
( spl144_127
<=> sP53 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_127])]) ).
fof(f2040,plain,
( spl144_126
<=> sP54 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_126])]) ).
fof(f2035,plain,
( spl144_125
<=> sP55 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_125])]) ).
fof(f2030,plain,
( spl144_124
<=> sP56 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_124])]) ).
fof(f2025,plain,
( spl144_123
<=> sP57 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_123])]) ).
fof(f2020,plain,
( spl144_122
<=> sP58 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_122])]) ).
fof(f2015,plain,
( spl144_121
<=> sP59 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_121])]) ).
fof(f2010,plain,
( spl144_120
<=> sP60 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_120])]) ).
fof(f2005,plain,
( spl144_119
<=> sP61 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_119])]) ).
fof(f1978,plain,
( spl144_113
<=> sP64 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_113])]) ).
fof(f1969,plain,
( spl144_111
<=> sP65 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_111])]) ).
fof(f1960,plain,
( spl144_109
<=> sP66 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_109])]) ).
fof(f1951,plain,
( spl144_107
<=> sP67 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_107])]) ).
fof(f1942,plain,
( spl144_105
<=> sP68 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_105])]) ).
fof(f1933,plain,
( spl144_103
<=> sP69 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_103])]) ).
fof(f1924,plain,
( spl144_101
<=> sP70 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_101])]) ).
fof(f1915,plain,
( spl144_99
<=> sP71 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_99])]) ).
fof(f1906,plain,
( spl144_97
<=> sP72 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_97])]) ).
fof(f1897,plain,
( spl144_95
<=> sP73 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_95])]) ).
fof(f2259,plain,
( spl144_169
<=> sP74 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_169])]) ).
fof(f1888,plain,
( spl144_93
<=> sP75 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_93])]) ).
fof(f1879,plain,
( spl144_91
<=> sP76 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_91])]) ).
fof(f1870,plain,
( spl144_89
<=> sP77 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_89])]) ).
fof(f1374,plain,
( e23 = h4(e12)
| sP77
| sP76
| sP75
| sP74
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15 ),
inference(forward_demodulation,[],[f892,f419]) ).
fof(f419,plain,
op2(e23,e23) = h4(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( op2(e23,e23) = h4(e12)
& op2(e23,op2(e23,e23)) = h4(e11)
& op2(op2(e23,e23),op2(e23,op2(e23,e23))) = h4(e10)
& e23 = h4(e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f892,plain,
( e23 = op2(e23,e23)
| sP77
| sP76
| sP75
| sP74
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15 ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| sP77
| sP76
| sP75
| sP74
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15 )
& ( e23 = op2(e23,op2(e23,e23))
| e22 = op2(e23,op2(e23,e22))
| e21 = op2(e23,op2(e23,e21))
| e20 = op2(e23,op2(e23,e20)) )
& ( e23 = op2(e22,op2(e22,e23))
| e22 = op2(e22,op2(e22,e22))
| e21 = op2(e22,op2(e22,e21))
| e20 = op2(e22,op2(e22,e20)) )
& ( e23 = op2(e21,op2(e21,e23))
| e22 = op2(e21,op2(e21,e22))
| e21 = op2(e21,op2(e21,e21))
| e20 = op2(e21,op2(e21,e20)) )
& ( e23 = op2(e20,op2(e20,e23))
| e22 = op2(e20,op2(e20,e22))
| e21 = op2(e20,op2(e20,e21))
| e20 = op2(e20,op2(e20,e20)) )
& ( ( e23 != op2(e23,e23)
& e22 != op2(e22,e23)
& e21 != op2(e21,e23)
& e20 != op2(e20,e23) )
| sP14
| sP13
| sP12 ) ),
inference(definition_folding,[],[f11,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34]) ).
fof(f34,plain,
( ( e23 != op2(e23,e20)
& e22 != op2(e22,e20)
& e21 != op2(e21,e20)
& e20 != op2(e20,e20) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f35,plain,
( ( e23 != op2(e23,e21)
& e22 != op2(e22,e21)
& e21 != op2(e21,e21)
& e20 != op2(e20,e21) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f36,plain,
( ( e23 != op2(e23,e22)
& e22 != op2(e22,e22)
& e21 != op2(e21,e22)
& e20 != op2(e20,e22) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f37,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f38,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f39,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f40,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f41,plain,
( ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f43,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f44,plain,
( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f45,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f46,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f48,plain,
( ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f49,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f50,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f51,plain,
( ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f52,plain,
( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f53,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f54,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f55,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f56,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f57,plain,
( ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f59,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f60,plain,
( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f61,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f62,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f63,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f64,plain,
( ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f65,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f66,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f67,plain,
( ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f68,plain,
( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f69,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f70,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f71,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f72,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f75,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ~ sP53 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f76,plain,
( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ~ sP54 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f77,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP55 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f78,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP56 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f79,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP57 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f80,plain,
( ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP58 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f81,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ~ sP59 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f82,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ~ sP60 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f83,plain,
( ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ~ sP61 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f86,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ~ sP64 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f87,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ~ sP65 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f88,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ~ sP66 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f89,plain,
( ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ~ sP67 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f90,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ~ sP68 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f91,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ~ sP69 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f92,plain,
( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ~ sP70 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f93,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ~ sP71 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f94,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ~ sP72 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).
fof(f95,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ~ sP73 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).
fof(f96,plain,
( ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ~ sP74 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).
fof(f97,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| ~ sP75 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).
fof(f98,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| ~ sP76 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP76])]) ).
fof(f99,plain,
( ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| ~ sP77 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])]) ).
fof(f11,axiom,
( ( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) ) )
& ( e23 = op2(e23,op2(e23,e23))
| e22 = op2(e23,op2(e23,e22))
| e21 = op2(e23,op2(e23,e21))
| e20 = op2(e23,op2(e23,e20)) )
& ( e23 = op2(e22,op2(e22,e23))
| e22 = op2(e22,op2(e22,e22))
| e21 = op2(e22,op2(e22,e21))
| e20 = op2(e22,op2(e22,e20)) )
& ( e23 = op2(e21,op2(e21,e23))
| e22 = op2(e21,op2(e21,e22))
| e21 = op2(e21,op2(e21,e21))
| e20 = op2(e21,op2(e21,e20)) )
& ( e23 = op2(e20,op2(e20,e23))
| e22 = op2(e20,op2(e20,e22))
| e21 = op2(e20,op2(e20,e21))
| e20 = op2(e20,op2(e20,e20)) )
& ( ( e23 != op2(e23,e23)
& e22 != op2(e22,e23)
& e21 != op2(e21,e23)
& e20 != op2(e20,e23) )
| ( e23 != op2(e23,e22)
& e22 != op2(e22,e22)
& e21 != op2(e21,e22)
& e20 != op2(e20,e22) )
| ( e23 != op2(e23,e21)
& e22 != op2(e22,e21)
& e21 != op2(e21,e21)
& e20 != op2(e20,e21) )
| ( e23 != op2(e23,e20)
& e22 != op2(e22,e20)
& e21 != op2(e21,e20)
& e20 != op2(e20,e20) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f16178,plain,
( ~ spl144_176
| spl144_324
| ~ spl144_354 ),
inference(avatar_split_clause,[],[f3209,f3203,f3045,f2290]) ).
fof(f2290,plain,
( spl144_176
<=> e20 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_176])]) ).
fof(f3045,plain,
( spl144_324
<=> op2(e20,e21) = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_324])]) ).
fof(f3209,plain,
( e20 != op2(e20,e21)
| spl144_324
| ~ spl144_354 ),
inference(superposition,[],[f3047,f3205]) ).
fof(f3047,plain,
( op2(e20,e21) != op2(e22,e21)
| spl144_324 ),
inference(avatar_component_clause,[],[f3045]) ).
fof(f16177,plain,
( ~ spl144_189
| ~ spl144_188 ),
inference(avatar_split_clause,[],[f16176,f2346,f2351]) ).
fof(f2351,plain,
( spl144_189
<=> sP123 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_189])]) ).
fof(f16176,plain,
( ~ sP123
| ~ spl144_188 ),
inference(trivial_inequality_removal,[],[f16175]) ).
fof(f16175,plain,
( e12 != e12
| ~ sP123
| ~ spl144_188 ),
inference(forward_demodulation,[],[f977,f2348]) ).
fof(f977,plain,
( e12 != op1(e12,e12)
| ~ sP123 ),
inference(cnf_transformation,[],[f266]) ).
fof(f266,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP123 ),
inference(nnf_transformation,[],[f146]) ).
fof(f146,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP123 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP123])]) ).
fof(f16174,plain,
( ~ spl144_182
| spl144_25
| ~ spl144_436 ),
inference(avatar_split_clause,[],[f16173,f5298,f1562,f2318]) ).
fof(f2318,plain,
( spl144_182
<=> sP133 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_182])]) ).
fof(f16173,plain,
( e10 = e13
| ~ sP133
| ~ spl144_436 ),
inference(forward_demodulation,[],[f935,f5300]) ).
fof(f935,plain,
( e13 = op1(e11,e13)
| ~ sP133 ),
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
( ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ~ sP133 ),
inference(nnf_transformation,[],[f156]) ).
fof(f156,plain,
( ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ~ sP133 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP133])]) ).
fof(f16172,plain,
( ~ spl144_181
| spl144_25
| ~ spl144_436 ),
inference(avatar_split_clause,[],[f16171,f5298,f1562,f2313]) ).
fof(f2313,plain,
( spl144_181
<=> sP134 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_181])]) ).
fof(f16171,plain,
( e10 = e13
| ~ sP134
| ~ spl144_436 ),
inference(forward_demodulation,[],[f931,f5300]) ).
fof(f931,plain,
( e13 = op1(e11,e13)
| ~ sP134 ),
inference(cnf_transformation,[],[f255]) ).
fof(f255,plain,
( ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ~ sP134 ),
inference(nnf_transformation,[],[f157]) ).
fof(f157,plain,
( ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ~ sP134 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP134])]) ).
fof(f16170,plain,
( ~ spl144_179
| spl144_25
| ~ spl144_436 ),
inference(avatar_split_clause,[],[f16168,f5298,f1562,f2304]) ).
fof(f2304,plain,
( spl144_179
<=> sP135 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_179])]) ).
fof(f16168,plain,
( e10 = e13
| ~ sP135
| ~ spl144_436 ),
inference(forward_demodulation,[],[f927,f5300]) ).
fof(f927,plain,
( e13 = op1(e11,e13)
| ~ sP135 ),
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ~ sP135 ),
inference(nnf_transformation,[],[f158]) ).
fof(f158,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ~ sP135 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP135])]) ).
fof(f16167,plain,
( ~ spl144_215
| spl144_25
| ~ spl144_378 ),
inference(avatar_split_clause,[],[f16165,f3360,f1562,f2475]) ).
fof(f2475,plain,
( spl144_215
<=> sP90 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_215])]) ).
fof(f16165,plain,
( e10 = e13
| ~ sP90
| ~ spl144_378 ),
inference(forward_demodulation,[],[f1107,f3362]) ).
fof(f1107,plain,
( e10 = op1(e12,e10)
| ~ sP90 ),
inference(cnf_transformation,[],[f299]) ).
fof(f299,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ~ sP90 ),
inference(nnf_transformation,[],[f113]) ).
fof(f113,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ~ sP90 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP90])]) ).
fof(f16164,plain,
( spl144_224
| spl144_223
| spl144_221
| spl144_60
| spl144_220
| spl144_219
| spl144_217
| spl144_59
| spl144_216
| spl144_215
| spl144_214
| spl144_212
| spl144_211
| spl144_210
| spl144_208
| spl144_58
| spl144_207
| spl144_206
| spl144_204
| spl144_57
| spl144_203
| spl144_202
| spl144_200
| spl144_56
| spl144_55
| spl144_54
| spl144_53
| spl144_52
| spl144_199
| spl144_198
| spl144_196
| spl144_51
| spl144_195
| spl144_194
| spl144_192
| spl144_50
| spl144_49
| spl144_48
| spl144_47
| spl144_46
| spl144_191
| spl144_190
| spl144_189
| spl144_187
| spl144_45
| spl144_44
| spl144_43
| spl144_42
| spl144_186
| spl144_185
| spl144_183
| spl144_41
| spl144_182
| spl144_181
| spl144_179
| spl144_40
| spl144_39
| spl144_38
| spl144_37
| spl144_36
| spl144_35
| spl144_34
| spl144_33
| spl144_28 ),
inference(avatar_split_clause,[],[f1433,f1577,f1602,f1607,f1612,f1617,f1622,f1627,f1632,f1637,f2304,f2313,f2318,f1642,f2323,f2332,f2337,f1647,f1652,f1657,f1662,f2342,f2351,f2356,f2361,f1667,f1672,f1677,f1682,f1687,f2366,f2375,f2380,f1692,f2385,f2394,f2399,f1697,f1702,f1707,f1712,f1717,f2404,f2413,f2418,f1722,f2423,f2432,f2437,f1727,f2442,f2451,f2456,f2461,f2470,f2475,f2480,f1732,f2485,f2494,f2499,f1737,f2504,f2513,f2518]) ).
fof(f2518,plain,
( spl144_224
<=> sP81 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_224])]) ).
fof(f2513,plain,
( spl144_223
<=> sP82 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_223])]) ).
fof(f2504,plain,
( spl144_221
<=> sP83 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_221])]) ).
fof(f1737,plain,
( spl144_60
<=> sP84 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_60])]) ).
fof(f2499,plain,
( spl144_220
<=> sP85 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_220])]) ).
fof(f2494,plain,
( spl144_219
<=> sP86 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_219])]) ).
fof(f2485,plain,
( spl144_217
<=> sP87 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_217])]) ).
fof(f1732,plain,
( spl144_59
<=> sP88 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_59])]) ).
fof(f2480,plain,
( spl144_216
<=> sP89 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_216])]) ).
fof(f2470,plain,
( spl144_214
<=> sP91 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_214])]) ).
fof(f2461,plain,
( spl144_212
<=> sP92 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_212])]) ).
fof(f2456,plain,
( spl144_211
<=> sP93 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_211])]) ).
fof(f2451,plain,
( spl144_210
<=> sP94 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_210])]) ).
fof(f2442,plain,
( spl144_208
<=> sP95 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_208])]) ).
fof(f1727,plain,
( spl144_58
<=> sP96 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_58])]) ).
fof(f2437,plain,
( spl144_207
<=> sP97 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_207])]) ).
fof(f2432,plain,
( spl144_206
<=> sP98 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_206])]) ).
fof(f2423,plain,
( spl144_204
<=> sP99 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_204])]) ).
fof(f1722,plain,
( spl144_57
<=> sP100 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_57])]) ).
fof(f2418,plain,
( spl144_203
<=> sP101 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_203])]) ).
fof(f2413,plain,
( spl144_202
<=> sP102 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_202])]) ).
fof(f2404,plain,
( spl144_200
<=> sP103 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_200])]) ).
fof(f1717,plain,
( spl144_56
<=> sP104 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_56])]) ).
fof(f1712,plain,
( spl144_55
<=> sP105 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_55])]) ).
fof(f1707,plain,
( spl144_54
<=> sP106 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_54])]) ).
fof(f1702,plain,
( spl144_53
<=> sP107 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_53])]) ).
fof(f1697,plain,
( spl144_52
<=> sP108 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_52])]) ).
fof(f2399,plain,
( spl144_199
<=> sP109 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_199])]) ).
fof(f2394,plain,
( spl144_198
<=> sP110 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_198])]) ).
fof(f2385,plain,
( spl144_196
<=> sP111 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_196])]) ).
fof(f1692,plain,
( spl144_51
<=> sP112 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_51])]) ).
fof(f2380,plain,
( spl144_195
<=> sP113 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_195])]) ).
fof(f2375,plain,
( spl144_194
<=> sP114 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_194])]) ).
fof(f2366,plain,
( spl144_192
<=> sP115 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_192])]) ).
fof(f1687,plain,
( spl144_50
<=> sP116 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_50])]) ).
fof(f1682,plain,
( spl144_49
<=> sP117 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_49])]) ).
fof(f1677,plain,
( spl144_48
<=> sP118 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_48])]) ).
fof(f1672,plain,
( spl144_47
<=> sP119 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_47])]) ).
fof(f1667,plain,
( spl144_46
<=> sP120 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_46])]) ).
fof(f2361,plain,
( spl144_191
<=> sP121 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_191])]) ).
fof(f2356,plain,
( spl144_190
<=> sP122 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_190])]) ).
fof(f2342,plain,
( spl144_187
<=> sP124 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_187])]) ).
fof(f1662,plain,
( spl144_45
<=> sP125 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_45])]) ).
fof(f1657,plain,
( spl144_44
<=> sP126 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_44])]) ).
fof(f1652,plain,
( spl144_43
<=> sP127 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_43])]) ).
fof(f1647,plain,
( spl144_42
<=> sP128 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_42])]) ).
fof(f2337,plain,
( spl144_186
<=> sP129 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_186])]) ).
fof(f2332,plain,
( spl144_185
<=> sP130 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_185])]) ).
fof(f2323,plain,
( spl144_183
<=> sP131 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_183])]) ).
fof(f1642,plain,
( spl144_41
<=> sP132 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_41])]) ).
fof(f1637,plain,
( spl144_40
<=> sP136 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_40])]) ).
fof(f1632,plain,
( spl144_39
<=> sP137 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_39])]) ).
fof(f1627,plain,
( spl144_38
<=> sP138 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_38])]) ).
fof(f1622,plain,
( spl144_37
<=> sP139 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_37])]) ).
fof(f1617,plain,
( spl144_36
<=> sP140 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_36])]) ).
fof(f1612,plain,
( spl144_35
<=> sP141 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_35])]) ).
fof(f1607,plain,
( spl144_34
<=> sP142 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_34])]) ).
fof(f1602,plain,
( spl144_33
<=> sP143 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_33])]) ).
fof(f1577,plain,
( spl144_28
<=> e12 = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_28])]) ).
fof(f1433,plain,
( e12 = e13
| sP143
| sP142
| sP141
| sP140
| sP139
| sP138
| sP137
| sP136
| sP135
| sP134
| sP133
| sP132
| sP131
| sP130
| sP129
| sP128
| sP127
| sP126
| sP125
| sP124
| sP123
| sP122
| sP121
| sP120
| sP119
| sP118
| sP117
| sP116
| sP115
| sP114
| sP113
| sP112
| sP111
| sP110
| sP109
| sP108
| sP107
| sP106
| sP105
| sP104
| sP103
| sP102
| sP101
| sP100
| sP99
| sP98
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81 ),
inference(forward_demodulation,[],[f1168,f521]) ).
fof(f521,plain,
e12 = op1(e13,e13),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
( e12 = op1(e13,e13)
& e11 = op1(e13,op1(e13,e13))
& e10 = op1(op1(e13,e13),op1(e13,op1(e13,e13))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f1168,plain,
( e13 = op1(e13,e13)
| sP143
| sP142
| sP141
| sP140
| sP139
| sP138
| sP137
| sP136
| sP135
| sP134
| sP133
| sP132
| sP131
| sP130
| sP129
| sP128
| sP127
| sP126
| sP125
| sP124
| sP123
| sP122
| sP121
| sP120
| sP119
| sP118
| sP117
| sP116
| sP115
| sP114
| sP113
| sP112
| sP111
| sP110
| sP109
| sP108
| sP107
| sP106
| sP105
| sP104
| sP103
| sP102
| sP101
| sP100
| sP99
| sP98
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81 ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
( ( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| sP143
| sP142
| sP141
| sP140
| sP139
| sP138
| sP137
| sP136
| sP135
| sP134
| sP133
| sP132
| sP131
| sP130
| sP129
| sP128
| sP127
| sP126
| sP125
| sP124
| sP123
| sP122
| sP121
| sP120
| sP119
| sP118
| sP117
| sP116
| sP115
| sP114
| sP113
| sP112
| sP111
| sP110
| sP109
| sP108
| sP107
| sP106
| sP105
| sP104
| sP103
| sP102
| sP101
| sP100
| sP99
| sP98
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81 )
& ( e13 = op1(e13,op1(e13,e13))
| e12 = op1(e13,op1(e13,e12))
| e11 = op1(e13,op1(e13,e11))
| e10 = op1(e13,op1(e13,e10)) )
& ( e13 = op1(e12,op1(e12,e13))
| e12 = op1(e12,op1(e12,e12))
| e11 = op1(e12,op1(e12,e11))
| e10 = op1(e12,op1(e12,e10)) )
& ( e13 = op1(e11,op1(e11,e13))
| e12 = op1(e11,op1(e11,e12))
| e11 = op1(e11,op1(e11,e11))
| e10 = op1(e11,op1(e11,e10)) )
& ( e13 = op1(e10,op1(e10,e13))
| e12 = op1(e10,op1(e10,e12))
| e11 = op1(e10,op1(e10,e11))
| e10 = op1(e10,op1(e10,e10)) )
& ( ( e13 != op1(e13,e13)
& e12 != op1(e12,e13)
& e11 != op1(e11,e13)
& e10 != op1(e10,e13) )
| sP80
| sP79
| sP78 ) ),
inference(definition_folding,[],[f10,f166,f165,f164,f163,f162,f161,f160,f159,f158,f157,f156,f155,f154,f153,f152,f151,f150,f149,f148,f147,f146,f145,f144,f143,f142,f141,f140,f139,f138,f137,f136,f135,f134,f133,f132,f131,f130,f129,f128,f127,f126,f125,f124,f123,f122,f121,f120,f119,f118,f117,f116,f115,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101]) ).
fof(f101,plain,
( ( e13 != op1(e13,e10)
& e12 != op1(e12,e10)
& e11 != op1(e11,e10)
& e10 != op1(e10,e10) )
| ~ sP78 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])]) ).
fof(f102,plain,
( ( e13 != op1(e13,e11)
& e12 != op1(e12,e11)
& e11 != op1(e11,e11)
& e10 != op1(e10,e11) )
| ~ sP79 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP79])]) ).
fof(f103,plain,
( ( e13 != op1(e13,e12)
& e12 != op1(e12,e12)
& e11 != op1(e11,e12)
& e10 != op1(e10,e12) )
| ~ sP80 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP80])]) ).
fof(f104,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP81 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP81])]) ).
fof(f105,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP82 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP82])]) ).
fof(f106,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP83 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP83])]) ).
fof(f107,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP84 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP84])]) ).
fof(f108,plain,
( ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ~ sP85 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP85])]) ).
fof(f109,plain,
( ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ~ sP86 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP86])]) ).
fof(f110,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ~ sP87 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP87])]) ).
fof(f111,plain,
( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ~ sP88 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP88])]) ).
fof(f112,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ~ sP89 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP89])]) ).
fof(f114,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ~ sP91 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP91])]) ).
fof(f115,plain,
( ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ~ sP92 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP92])]) ).
fof(f116,plain,
( ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ~ sP93 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP93])]) ).
fof(f117,plain,
( ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ~ sP94 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP94])]) ).
fof(f118,plain,
( ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ~ sP95 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP95])]) ).
fof(f119,plain,
( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ~ sP96 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP96])]) ).
fof(f120,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ~ sP97 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP97])]) ).
fof(f121,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ~ sP98 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP98])]) ).
fof(f122,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ~ sP99 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP99])]) ).
fof(f123,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ~ sP100 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP100])]) ).
fof(f124,plain,
( ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP101 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP101])]) ).
fof(f125,plain,
( ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP102 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP102])]) ).
fof(f126,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP103 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP103])]) ).
fof(f127,plain,
( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP104 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP104])]) ).
fof(f128,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ~ sP105 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP105])]) ).
fof(f129,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ~ sP106 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP106])]) ).
fof(f130,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ~ sP107 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP107])]) ).
fof(f131,plain,
( ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ~ sP108 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP108])]) ).
fof(f132,plain,
( ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ~ sP109 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP109])]) ).
fof(f133,plain,
( ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ~ sP110 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP110])]) ).
fof(f134,plain,
( ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ~ sP111 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP111])]) ).
fof(f135,plain,
( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ~ sP112 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP112])]) ).
fof(f136,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ~ sP113 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP113])]) ).
fof(f137,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ~ sP114 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP114])]) ).
fof(f138,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ~ sP115 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP115])]) ).
fof(f139,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ~ sP116 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP116])]) ).
fof(f140,plain,
( ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ~ sP117 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP117])]) ).
fof(f141,plain,
( ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ~ sP118 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP118])]) ).
fof(f142,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ~ sP119 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP119])]) ).
fof(f143,plain,
( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ~ sP120 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP120])]) ).
fof(f144,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP121 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP121])]) ).
fof(f145,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP122 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP122])]) ).
fof(f147,plain,
( ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP124 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP124])]) ).
fof(f148,plain,
( ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ~ sP125 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP125])]) ).
fof(f149,plain,
( ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ~ sP126 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP126])]) ).
fof(f150,plain,
( ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ~ sP127 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP127])]) ).
fof(f151,plain,
( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ~ sP128 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP128])]) ).
fof(f152,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ~ sP129 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP129])]) ).
fof(f153,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ~ sP130 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP130])]) ).
fof(f154,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ~ sP131 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP131])]) ).
fof(f155,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ~ sP132 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP132])]) ).
fof(f159,plain,
( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ~ sP136 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP136])]) ).
fof(f160,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ~ sP137 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP137])]) ).
fof(f161,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ~ sP138 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP138])]) ).
fof(f162,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ~ sP139 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP139])]) ).
fof(f163,plain,
( ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ~ sP140 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP140])]) ).
fof(f164,plain,
( ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| ~ sP141 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP141])]) ).
fof(f165,plain,
( ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| ~ sP142 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP142])]) ).
fof(f166,plain,
( ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| ~ sP143 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP143])]) ).
fof(f10,axiom,
( ( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) ) )
& ( e13 = op1(e13,op1(e13,e13))
| e12 = op1(e13,op1(e13,e12))
| e11 = op1(e13,op1(e13,e11))
| e10 = op1(e13,op1(e13,e10)) )
& ( e13 = op1(e12,op1(e12,e13))
| e12 = op1(e12,op1(e12,e12))
| e11 = op1(e12,op1(e12,e11))
| e10 = op1(e12,op1(e12,e10)) )
& ( e13 = op1(e11,op1(e11,e13))
| e12 = op1(e11,op1(e11,e12))
| e11 = op1(e11,op1(e11,e11))
| e10 = op1(e11,op1(e11,e10)) )
& ( e13 = op1(e10,op1(e10,e13))
| e12 = op1(e10,op1(e10,e12))
| e11 = op1(e10,op1(e10,e11))
| e10 = op1(e10,op1(e10,e10)) )
& ( ( e13 != op1(e13,e13)
& e12 != op1(e12,e13)
& e11 != op1(e11,e13)
& e10 != op1(e10,e13) )
| ( e13 != op1(e13,e12)
& e12 != op1(e12,e12)
& e11 != op1(e11,e12)
& e10 != op1(e10,e12) )
| ( e13 != op1(e13,e11)
& e12 != op1(e12,e11)
& e11 != op1(e11,e11)
& e10 != op1(e10,e11) )
| ( e13 != op1(e13,e10)
& e12 != op1(e12,e10)
& e11 != op1(e11,e10)
& e10 != op1(e10,e10) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f16163,plain,
( ~ spl144_635
| ~ spl144_424
| ~ spl144_443
| spl144_612 ),
inference(avatar_split_clause,[],[f16114,f16002,f6907,f4494,f16160]) ).
fof(f16160,plain,
( spl144_635
<=> e22 = op2(h1(e10),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_635])]) ).
fof(f16114,plain,
( e22 != op2(h1(e10),h1(e10))
| ~ spl144_424
| ~ spl144_443
| spl144_612 ),
inference(forward_demodulation,[],[f16113,f6909]) ).
fof(f16113,plain,
( h1(e11) != op2(h1(e10),h1(e10))
| ~ spl144_424
| spl144_612 ),
inference(forward_demodulation,[],[f16004,f4496]) ).
fof(f16158,plain,
( ~ spl144_634
| ~ spl144_108
| ~ spl144_213
| spl144_614 ),
inference(avatar_split_clause,[],[f16109,f16010,f2465,f1955,f16155]) ).
fof(f16010,plain,
( spl144_614
<=> h1(op1(e10,e12)) = op2(h1(e10),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_614])]) ).
fof(f16109,plain,
( h1(e10) != op2(h1(e10),e21)
| ~ spl144_108
| ~ spl144_213
| spl144_614 ),
inference(forward_demodulation,[],[f16108,f2467]) ).
fof(f16108,plain,
( h1(op1(e10,e12)) != op2(h1(e10),e21)
| ~ spl144_108
| spl144_614 ),
inference(forward_demodulation,[],[f16012,f1957]) ).
fof(f16012,plain,
( h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| spl144_614 ),
inference(avatar_component_clause,[],[f16010]) ).
fof(f16153,plain,
( ~ spl144_633
| ~ spl144_373
| spl144_624 ),
inference(avatar_split_clause,[],[f16079,f16050,f3327,f16150]) ).
fof(f16150,plain,
( spl144_633
<=> h1(e10) = op2(e23,h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_633])]) ).
fof(f16050,plain,
( spl144_624
<=> h1(op1(e13,e10)) = op2(e23,h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_624])]) ).
fof(f16079,plain,
( h1(e10) != op2(e23,h1(e10))
| ~ spl144_373
| spl144_624 ),
inference(forward_demodulation,[],[f16052,f3329]) ).
fof(f16052,plain,
( h1(op1(e13,e10)) != op2(e23,h1(e10))
| spl144_624 ),
inference(avatar_component_clause,[],[f16050]) ).
fof(f16148,plain,
( ~ spl144_632
| ~ spl144_108
| ~ spl144_384
| ~ spl144_443
| spl144_613 ),
inference(avatar_split_clause,[],[f16112,f16006,f6907,f3407,f1955,f16145]) ).
fof(f16112,plain,
( e21 != op2(h1(e10),e22)
| ~ spl144_108
| ~ spl144_384
| ~ spl144_443
| spl144_613 ),
inference(forward_demodulation,[],[f16111,f1957]) ).
fof(f16111,plain,
( h1(e12) != op2(h1(e10),e22)
| ~ spl144_384
| ~ spl144_443
| spl144_613 ),
inference(forward_demodulation,[],[f16110,f3409]) ).
fof(f16143,plain,
( ~ spl144_631
| ~ spl144_29
| ~ spl144_370
| spl144_615 ),
inference(avatar_split_clause,[],[f16107,f16014,f3309,f1582,f16140]) ).
fof(f16140,plain,
( spl144_631
<=> e20 = op2(h1(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_631])]) ).
fof(f16014,plain,
( spl144_615
<=> h1(op1(e10,e13)) = op2(h1(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_615])]) ).
fof(f16107,plain,
( e20 != op2(h1(e10),e23)
| ~ spl144_29
| ~ spl144_370
| spl144_615 ),
inference(forward_demodulation,[],[f16106,f1584]) ).
fof(f16106,plain,
( h1(e13) != op2(h1(e10),e23)
| ~ spl144_370
| spl144_615 ),
inference(forward_demodulation,[],[f16016,f3311]) ).
fof(f16016,plain,
( h1(op1(e10,e13)) != op2(h1(e10),e23)
| spl144_615 ),
inference(avatar_component_clause,[],[f16014]) ).
fof(f16138,plain,
( ~ spl144_630
| ~ spl144_108
| ~ spl144_427
| ~ spl144_443
| spl144_616 ),
inference(avatar_split_clause,[],[f16105,f16018,f6907,f4509,f1955,f16135]) ).
fof(f16105,plain,
( e21 != op2(e22,h1(e10))
| ~ spl144_108
| ~ spl144_427
| ~ spl144_443
| spl144_616 ),
inference(forward_demodulation,[],[f16104,f1957]) ).
fof(f16104,plain,
( h1(e12) != op2(e22,h1(e10))
| ~ spl144_427
| ~ spl144_443
| spl144_616 ),
inference(forward_demodulation,[],[f16103,f4511]) ).
fof(f16133,plain,
( ~ spl144_629
| ~ spl144_29
| ~ spl144_108
| ~ spl144_378
| spl144_620 ),
inference(avatar_split_clause,[],[f16092,f16034,f3360,f1955,f1582,f16130]) ).
fof(f16034,plain,
( spl144_620
<=> h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_620])]) ).
fof(f16092,plain,
( e20 != op2(e21,h1(e10))
| ~ spl144_29
| ~ spl144_108
| ~ spl144_378
| spl144_620 ),
inference(forward_demodulation,[],[f16091,f1584]) ).
fof(f16091,plain,
( h1(e13) != op2(e21,h1(e10))
| ~ spl144_108
| ~ spl144_378
| spl144_620 ),
inference(forward_demodulation,[],[f16090,f3362]) ).
fof(f16090,plain,
( h1(op1(e12,e10)) != op2(e21,h1(e10))
| ~ spl144_108
| spl144_620 ),
inference(forward_demodulation,[],[f16036,f1957]) ).
fof(f16036,plain,
( h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| spl144_620 ),
inference(avatar_component_clause,[],[f16034]) ).
fof(f16125,plain,
( ~ spl144_422
| ~ spl144_201
| ~ spl144_443
| spl144_617 ),
inference(avatar_split_clause,[],[f16102,f16022,f6907,f2408,f4467]) ).
fof(f4467,plain,
( spl144_422
<=> e22 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_422])]) ).
fof(f16102,plain,
( e22 != op2(e22,e22)
| ~ spl144_201
| ~ spl144_443
| spl144_617 ),
inference(forward_demodulation,[],[f16101,f6909]) ).
fof(f16101,plain,
( op2(e22,e22) != h1(e11)
| ~ spl144_201
| ~ spl144_443
| spl144_617 ),
inference(forward_demodulation,[],[f16100,f2410]) ).
fof(f16100,plain,
( op2(e22,e22) != h1(op1(e11,e11))
| ~ spl144_443
| spl144_617 ),
inference(forward_demodulation,[],[f16024,f6909]) ).
fof(f16024,plain,
( h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| spl144_617 ),
inference(avatar_component_clause,[],[f16022]) ).
fof(f16120,plain,
( ~ spl144_354
| ~ spl144_29
| ~ spl144_108
| ~ spl144_376
| ~ spl144_443
| spl144_618 ),
inference(avatar_split_clause,[],[f16099,f16026,f6907,f3347,f1955,f1582,f3203]) ).
fof(f16026,plain,
( spl144_618
<=> h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_618])]) ).
fof(f16099,plain,
( e20 != op2(e22,e21)
| ~ spl144_29
| ~ spl144_108
| ~ spl144_376
| ~ spl144_443
| spl144_618 ),
inference(forward_demodulation,[],[f16098,f1584]) ).
fof(f16098,plain,
( op2(e22,e21) != h1(e13)
| ~ spl144_108
| ~ spl144_376
| ~ spl144_443
| spl144_618 ),
inference(forward_demodulation,[],[f16097,f3349]) ).
fof(f16097,plain,
( op2(e22,e21) != h1(op1(e11,e12))
| ~ spl144_108
| ~ spl144_443
| spl144_618 ),
inference(forward_demodulation,[],[f16096,f6909]) ).
fof(f16096,plain,
( h1(op1(e11,e12)) != op2(h1(e11),e21)
| ~ spl144_108
| spl144_618 ),
inference(forward_demodulation,[],[f16028,f1957]) ).
fof(f16028,plain,
( h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| spl144_618 ),
inference(avatar_component_clause,[],[f16026]) ).
fof(f16116,plain,
( ~ spl144_395
| ~ spl144_108
| ~ spl144_188
| spl144_622 ),
inference(avatar_split_clause,[],[f16085,f16042,f2346,f1955,f3500]) ).
fof(f16085,plain,
( e21 != op2(e21,e21)
| ~ spl144_108
| ~ spl144_188
| spl144_622 ),
inference(forward_demodulation,[],[f16084,f1957]) ).
fof(f16084,plain,
( op2(e21,e21) != h1(e12)
| ~ spl144_108
| ~ spl144_188
| spl144_622 ),
inference(forward_demodulation,[],[f16083,f2348]) ).
fof(f16083,plain,
( op2(e21,e21) != h1(op1(e12,e12))
| ~ spl144_108
| spl144_622 ),
inference(forward_demodulation,[],[f16044,f1957]) ).
fof(f16044,plain,
( h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| spl144_622 ),
inference(avatar_component_clause,[],[f16042]) ).
fof(f16089,plain,
( ~ spl144_88
| ~ spl144_359
| spl144_621 ),
inference(avatar_contradiction_clause,[],[f16088]) ).
fof(f16088,plain,
( $false
| ~ spl144_88
| ~ spl144_359
| spl144_621 ),
inference(trivial_inequality_removal,[],[f16087]) ).
fof(f16087,plain,
( h1(e10) != h1(e10)
| ~ spl144_88
| ~ spl144_359
| spl144_621 ),
inference(forward_demodulation,[],[f16086,f1867]) ).
fof(f16086,plain,
( h1(e10) != h1(op1(e12,e11))
| ~ spl144_359
| spl144_621 ),
inference(forward_demodulation,[],[f16040,f3233]) ).
fof(f16040,plain,
( h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| spl144_621 ),
inference(avatar_component_clause,[],[f16038]) ).
fof(f16038,plain,
( spl144_621
<=> h1(op1(e12,e11)) = op2(h1(e12),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_621])]) ).
fof(f16069,plain,
( ~ spl144_612
| ~ spl144_613
| ~ spl144_614
| ~ spl144_615
| ~ spl144_616
| ~ spl144_617
| ~ spl144_618
| ~ spl144_619
| ~ spl144_620
| ~ spl144_621
| ~ spl144_622
| ~ spl144_623
| ~ spl144_624
| ~ spl144_625
| ~ spl144_626
| ~ spl144_627
| spl144_83
| spl144_81
| spl144_79
| ~ spl144_628 ),
inference(avatar_split_clause,[],[f1182,f16066,f1823,f1832,f1841,f16062,f16058,f16054,f16050,f16046,f16042,f16038,f16034,f16030,f16026,f16022,f16018,f16014,f16010,f16006,f16002]) ).
fof(f16030,plain,
( spl144_619
<=> h1(op1(e11,e13)) = op2(h1(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_619])]) ).
fof(f16046,plain,
( spl144_623
<=> h1(op1(e12,e13)) = op2(h1(e12),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_623])]) ).
fof(f16054,plain,
( spl144_625
<=> h1(op1(e13,e11)) = op2(e23,h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_625])]) ).
fof(f16058,plain,
( spl144_626
<=> h1(op1(e13,e12)) = op2(e23,h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_626])]) ).
fof(f16062,plain,
( spl144_627
<=> op2(e23,e23) = h1(op1(e13,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_627])]) ).
fof(f16066,plain,
( spl144_628
<=> e23 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_628])]) ).
fof(f1182,plain,
( e23 != h1(e13)
| sP2
| sP1
| sP0
| op2(e23,e23) != h1(op1(e13,e13))
| h1(op1(e13,e12)) != op2(e23,h1(e12))
| h1(op1(e13,e11)) != op2(e23,h1(e11))
| h1(op1(e13,e10)) != op2(e23,h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),e23)
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),e23)
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),e23)
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ),
inference(inner_rewriting,[],[f363]) ).
fof(f363,plain,
( e23 != h1(e13)
| sP2
| sP1
| sP0
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f15996,plain,
( ~ spl144_395
| ~ spl144_31
| ~ spl144_180
| ~ spl144_417
| spl144_608 ),
inference(avatar_split_clause,[],[f15954,f15927,f4356,f2308,f1592,f3500]) ).
fof(f1592,plain,
( spl144_31
<=> e21 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_31])]) ).
fof(f15927,plain,
( spl144_608
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_608])]) ).
fof(f15954,plain,
( e21 != op2(e21,e21)
| ~ spl144_31
| ~ spl144_180
| ~ spl144_417
| spl144_608 ),
inference(forward_demodulation,[],[f15953,f1594]) ).
fof(f1594,plain,
( e21 = h2(e13)
| ~ spl144_31 ),
inference(avatar_component_clause,[],[f1592]) ).
fof(f15953,plain,
( op2(e21,e21) != h2(e13)
| ~ spl144_31
| ~ spl144_180
| ~ spl144_417
| spl144_608 ),
inference(forward_demodulation,[],[f15952,f2310]) ).
fof(f15952,plain,
( op2(e21,e21) != h2(op1(e13,e11))
| ~ spl144_31
| ~ spl144_417
| spl144_608 ),
inference(forward_demodulation,[],[f15951,f1594]) ).
fof(f15951,plain,
( h2(op1(e13,e11)) != op2(h2(e13),e21)
| ~ spl144_417
| spl144_608 ),
inference(forward_demodulation,[],[f15929,f4358]) ).
fof(f15929,plain,
( h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| spl144_608 ),
inference(avatar_component_clause,[],[f15927]) ).
fof(f15992,plain,
( ~ spl144_395
| ~ spl144_31
| ~ spl144_106
| ~ spl144_382
| ~ spl144_417
| spl144_606 ),
inference(avatar_split_clause,[],[f15961,f15919,f4356,f3391,f1946,f1592,f3500]) ).
fof(f15919,plain,
( spl144_606
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_606])]) ).
fof(f15961,plain,
( e21 != op2(e21,e21)
| ~ spl144_31
| ~ spl144_106
| ~ spl144_382
| ~ spl144_417
| spl144_606 ),
inference(forward_demodulation,[],[f15960,f4358]) ).
fof(f15960,plain,
( op2(e21,e21) != h2(e11)
| ~ spl144_31
| ~ spl144_106
| ~ spl144_382
| spl144_606 ),
inference(forward_demodulation,[],[f15959,f3393]) ).
fof(f15959,plain,
( op2(e21,e21) != h2(op1(e12,e13))
| ~ spl144_31
| ~ spl144_106
| spl144_606 ),
inference(forward_demodulation,[],[f15958,f1947]) ).
fof(f15958,plain,
( h2(op1(e12,e13)) != op2(h2(e12),e21)
| ~ spl144_31
| spl144_606 ),
inference(forward_demodulation,[],[f15921,f1594]) ).
fof(f15921,plain,
( h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| spl144_606 ),
inference(avatar_component_clause,[],[f15919]) ).
fof(f15988,plain,
( ~ spl144_395
| ~ spl144_31
| ~ spl144_87
| ~ spl144_106
| ~ spl144_417
| spl144_609 ),
inference(avatar_split_clause,[],[f15950,f15931,f4356,f1946,f1860,f1592,f3500]) ).
fof(f15931,plain,
( spl144_609
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_609])]) ).
fof(f15950,plain,
( e21 != op2(e21,e21)
| ~ spl144_31
| ~ spl144_87
| ~ spl144_106
| ~ spl144_417
| spl144_609 ),
inference(forward_demodulation,[],[f15949,f4358]) ).
fof(f15949,plain,
( op2(e21,e21) != h2(e11)
| ~ spl144_31
| ~ spl144_87
| ~ spl144_106
| spl144_609 ),
inference(forward_demodulation,[],[f15948,f1862]) ).
fof(f15948,plain,
( op2(e21,e21) != h2(op1(e13,e12))
| ~ spl144_31
| ~ spl144_106
| spl144_609 ),
inference(forward_demodulation,[],[f15947,f1594]) ).
fof(f15947,plain,
( h2(op1(e13,e12)) != op2(h2(e13),e21)
| ~ spl144_106
| spl144_609 ),
inference(forward_demodulation,[],[f15933,f1947]) ).
fof(f15933,plain,
( h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| spl144_609 ),
inference(avatar_component_clause,[],[f15931]) ).
fof(f15984,plain,
( ~ spl144_395
| ~ spl144_31
| ~ spl144_76
| ~ spl144_417
| ~ spl144_436
| spl144_604 ),
inference(avatar_split_clause,[],[f15968,f15911,f5298,f4356,f1809,f1592,f3500]) ).
fof(f15911,plain,
( spl144_604
<=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_604])]) ).
fof(f15968,plain,
( e21 != op2(e21,e21)
| ~ spl144_31
| ~ spl144_76
| ~ spl144_417
| ~ spl144_436
| spl144_604 ),
inference(forward_demodulation,[],[f15967,f1810]) ).
fof(f15967,plain,
( op2(e21,e21) != h2(e10)
| ~ spl144_31
| ~ spl144_417
| ~ spl144_436
| spl144_604 ),
inference(forward_demodulation,[],[f15966,f5300]) ).
fof(f15966,plain,
( op2(e21,e21) != h2(op1(e11,e13))
| ~ spl144_31
| ~ spl144_417
| spl144_604 ),
inference(forward_demodulation,[],[f15965,f4358]) ).
fof(f15965,plain,
( h2(op1(e11,e13)) != op2(h2(e11),e21)
| ~ spl144_31
| spl144_604 ),
inference(forward_demodulation,[],[f15913,f1594]) ).
fof(f15913,plain,
( h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| spl144_604 ),
inference(avatar_component_clause,[],[f15911]) ).
fof(f15981,plain,
( ~ spl144_395
| ~ spl144_31
| ~ spl144_86
| ~ spl144_106
| spl144_610 ),
inference(avatar_split_clause,[],[f15946,f15935,f1946,f1855,f1592,f3500]) ).
fof(f15935,plain,
( spl144_610
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_610])]) ).
fof(f15946,plain,
( e21 != op2(e21,e21)
| ~ spl144_31
| ~ spl144_86
| ~ spl144_106
| spl144_610 ),
inference(forward_demodulation,[],[f15945,f1947]) ).
fof(f15945,plain,
( op2(e21,e21) != h2(e12)
| ~ spl144_31
| ~ spl144_86
| spl144_610 ),
inference(forward_demodulation,[],[f15944,f1857]) ).
fof(f15944,plain,
( op2(e21,e21) != h2(op1(e13,e13))
| ~ spl144_31
| spl144_610 ),
inference(forward_demodulation,[],[f15937,f1594]) ).
fof(f15937,plain,
( h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| spl144_610 ),
inference(avatar_component_clause,[],[f15935]) ).
fof(f15942,plain,
( ~ spl144_599
| ~ spl144_600
| ~ spl144_601
| ~ spl144_602
| ~ spl144_603
| ~ spl144_587
| ~ spl144_588
| ~ spl144_604
| ~ spl144_605
| ~ spl144_591
| ~ spl144_592
| ~ spl144_606
| ~ spl144_607
| ~ spl144_608
| ~ spl144_609
| ~ spl144_610
| spl144_77
| spl144_75
| spl144_73
| ~ spl144_611 ),
inference(avatar_split_clause,[],[f1181,f15939,f1796,f1805,f1814,f15935,f15931,f15927,f15923,f15919,f15776,f15772,f15915,f15911,f15760,f15756,f15907,f15903,f15899,f15895,f15891]) ).
fof(f15899,plain,
( spl144_601
<=> h2(op1(e10,e12)) = op2(e23,h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_601])]) ).
fof(f15903,plain,
( spl144_602
<=> h2(op1(e10,e13)) = op2(e23,h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_602])]) ).
fof(f15760,plain,
( spl144_588
<=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_588])]) ).
fof(f15915,plain,
( spl144_605
<=> h2(op1(e12,e10)) = op2(h2(e12),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_605])]) ).
fof(f15772,plain,
( spl144_591
<=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_591])]) ).
fof(f15776,plain,
( spl144_592
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_592])]) ).
fof(f15923,plain,
( spl144_607
<=> h2(op1(e13,e10)) = op2(h2(e13),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_607])]) ).
fof(f1814,plain,
( spl144_77
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_77])]) ).
fof(f1805,plain,
( spl144_75
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_75])]) ).
fof(f1796,plain,
( spl144_73
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_73])]) ).
fof(f15939,plain,
( spl144_611
<=> e23 = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_611])]) ).
fof(f1181,plain,
( e23 != h2(e10)
| sP5
| sP4
| sP3
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),e23)
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),e23)
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),e23)
| h2(op1(e10,e13)) != op2(e23,h2(e13))
| h2(op1(e10,e12)) != op2(e23,h2(e12))
| h2(op1(e10,e11)) != op2(e23,h2(e11))
| op2(e23,e23) != h2(op1(e10,e10)) ),
inference(inner_rewriting,[],[f364]) ).
fof(f364,plain,
( e23 != h2(e10)
| sP5
| sP4
| sP3
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f15886,plain,
( ~ spl144_395
| ~ spl144_76
| ~ spl144_106
| ~ spl144_417
| ~ spl144_427
| spl144_586 ),
inference(avatar_split_clause,[],[f15843,f15752,f4509,f4356,f1946,f1809,f3500]) ).
fof(f15843,plain,
( e21 != op2(e21,e21)
| ~ spl144_76
| ~ spl144_106
| ~ spl144_417
| ~ spl144_427
| spl144_586 ),
inference(forward_demodulation,[],[f15842,f1947]) ).
fof(f15842,plain,
( op2(e21,e21) != h2(e12)
| ~ spl144_76
| ~ spl144_417
| ~ spl144_427
| spl144_586 ),
inference(forward_demodulation,[],[f15841,f4511]) ).
fof(f15841,plain,
( op2(e21,e21) != h2(op1(e11,e10))
| ~ spl144_76
| ~ spl144_417
| spl144_586 ),
inference(forward_demodulation,[],[f15840,f4358]) ).
fof(f15840,plain,
( h2(op1(e11,e10)) != op2(h2(e11),e21)
| ~ spl144_76
| spl144_586 ),
inference(forward_demodulation,[],[f15754,f1810]) ).
fof(f15754,plain,
( h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| spl144_586 ),
inference(avatar_component_clause,[],[f15752]) ).
fof(f15883,plain,
( ~ spl144_395
| ~ spl144_201
| ~ spl144_417
| spl144_587 ),
inference(avatar_split_clause,[],[f15839,f15756,f4356,f2408,f3500]) ).
fof(f15839,plain,
( e21 != op2(e21,e21)
| ~ spl144_201
| ~ spl144_417
| spl144_587 ),
inference(forward_demodulation,[],[f15838,f4358]) ).
fof(f15838,plain,
( op2(e21,e21) != h2(e11)
| ~ spl144_201
| ~ spl144_417
| spl144_587 ),
inference(forward_demodulation,[],[f15837,f2410]) ).
fof(f15837,plain,
( op2(e21,e21) != h2(op1(e11,e11))
| ~ spl144_417
| spl144_587 ),
inference(forward_demodulation,[],[f15758,f4358]) ).
fof(f15758,plain,
( h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| spl144_587 ),
inference(avatar_component_clause,[],[f15756]) ).
fof(f15879,plain,
( ~ spl144_395
| ~ spl144_76
| ~ spl144_106
| ~ spl144_213
| spl144_584 ),
inference(avatar_split_clause,[],[f15850,f15744,f2465,f1946,f1809,f3500]) ).
fof(f15744,plain,
( spl144_584
<=> h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_584])]) ).
fof(f15850,plain,
( e21 != op2(e21,e21)
| ~ spl144_76
| ~ spl144_106
| ~ spl144_213
| spl144_584 ),
inference(forward_demodulation,[],[f15849,f1810]) ).
fof(f15849,plain,
( op2(e21,e21) != h2(e10)
| ~ spl144_76
| ~ spl144_106
| ~ spl144_213
| spl144_584 ),
inference(forward_demodulation,[],[f15848,f2467]) ).
fof(f15848,plain,
( op2(e21,e21) != h2(op1(e10,e12))
| ~ spl144_76
| ~ spl144_106
| spl144_584 ),
inference(forward_demodulation,[],[f15847,f1810]) ).
fof(f15847,plain,
( h2(op1(e10,e12)) != op2(h2(e10),e21)
| ~ spl144_106
| spl144_584 ),
inference(forward_demodulation,[],[f15746,f1947]) ).
fof(f15746,plain,
( h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| spl144_584 ),
inference(avatar_component_clause,[],[f15744]) ).
fof(f15874,plain,
( ~ spl144_395
| ~ spl144_31
| ~ spl144_106
| ~ spl144_376
| ~ spl144_417
| spl144_588 ),
inference(avatar_split_clause,[],[f15836,f15760,f4356,f3347,f1946,f1592,f3500]) ).
fof(f15836,plain,
( e21 != op2(e21,e21)
| ~ spl144_31
| ~ spl144_106
| ~ spl144_376
| ~ spl144_417
| spl144_588 ),
inference(forward_demodulation,[],[f15835,f1594]) ).
fof(f15835,plain,
( op2(e21,e21) != h2(e13)
| ~ spl144_106
| ~ spl144_376
| ~ spl144_417
| spl144_588 ),
inference(forward_demodulation,[],[f15834,f3349]) ).
fof(f15834,plain,
( op2(e21,e21) != h2(op1(e11,e12))
| ~ spl144_106
| ~ spl144_417
| spl144_588 ),
inference(forward_demodulation,[],[f15833,f4358]) ).
fof(f15833,plain,
( h2(op1(e11,e12)) != op2(h2(e11),e21)
| ~ spl144_106
| spl144_588 ),
inference(forward_demodulation,[],[f15762,f1947]) ).
fof(f15762,plain,
( h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| spl144_588 ),
inference(avatar_component_clause,[],[f15760]) ).
fof(f15870,plain,
( ~ spl144_395
| ~ spl144_76
| ~ spl144_106
| ~ spl144_384
| ~ spl144_417
| spl144_583 ),
inference(avatar_split_clause,[],[f15854,f15740,f4356,f3407,f1946,f1809,f3500]) ).
fof(f15854,plain,
( e21 != op2(e21,e21)
| ~ spl144_76
| ~ spl144_106
| ~ spl144_384
| ~ spl144_417
| spl144_583 ),
inference(forward_demodulation,[],[f15853,f1947]) ).
fof(f15853,plain,
( op2(e21,e21) != h2(e12)
| ~ spl144_76
| ~ spl144_384
| ~ spl144_417
| spl144_583 ),
inference(forward_demodulation,[],[f15852,f3409]) ).
fof(f15852,plain,
( op2(e21,e21) != h2(op1(e10,e11))
| ~ spl144_76
| ~ spl144_417
| spl144_583 ),
inference(forward_demodulation,[],[f15851,f1810]) ).
fof(f15851,plain,
( h2(op1(e10,e11)) != op2(h2(e10),e21)
| ~ spl144_417
| spl144_583 ),
inference(forward_demodulation,[],[f15742,f4358]) ).
fof(f15742,plain,
( h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| spl144_583 ),
inference(avatar_component_clause,[],[f15740]) ).
fof(f15865,plain,
( ~ spl144_395
| ~ spl144_31
| ~ spl144_76
| ~ spl144_106
| ~ spl144_378
| spl144_590 ),
inference(avatar_split_clause,[],[f15829,f15768,f3360,f1946,f1809,f1592,f3500]) ).
fof(f15768,plain,
( spl144_590
<=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_590])]) ).
fof(f15829,plain,
( e21 != op2(e21,e21)
| ~ spl144_31
| ~ spl144_76
| ~ spl144_106
| ~ spl144_378
| spl144_590 ),
inference(forward_demodulation,[],[f15828,f1594]) ).
fof(f15828,plain,
( op2(e21,e21) != h2(e13)
| ~ spl144_76
| ~ spl144_106
| ~ spl144_378
| spl144_590 ),
inference(forward_demodulation,[],[f15827,f3362]) ).
fof(f15827,plain,
( op2(e21,e21) != h2(op1(e12,e10))
| ~ spl144_76
| ~ spl144_106
| spl144_590 ),
inference(forward_demodulation,[],[f15826,f1947]) ).
fof(f15826,plain,
( h2(op1(e12,e10)) != op2(h2(e12),e21)
| ~ spl144_76
| spl144_590 ),
inference(forward_demodulation,[],[f15770,f1810]) ).
fof(f15770,plain,
( h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| spl144_590 ),
inference(avatar_component_clause,[],[f15768]) ).
fof(f15862,plain,
( ~ spl144_395
| ~ spl144_76
| ~ spl144_417
| ~ spl144_424
| spl144_582 ),
inference(avatar_split_clause,[],[f15857,f15736,f4494,f4356,f1809,f3500]) ).
fof(f15857,plain,
( e21 != op2(e21,e21)
| ~ spl144_76
| ~ spl144_417
| ~ spl144_424
| spl144_582 ),
inference(forward_demodulation,[],[f15856,f4358]) ).
fof(f15856,plain,
( op2(e21,e21) != h2(e11)
| ~ spl144_76
| ~ spl144_424
| spl144_582 ),
inference(forward_demodulation,[],[f15855,f4496]) ).
fof(f15855,plain,
( op2(e21,e21) != h2(op1(e10,e10))
| ~ spl144_76
| spl144_582 ),
inference(forward_demodulation,[],[f15738,f1810]) ).
fof(f15738,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| spl144_582 ),
inference(avatar_component_clause,[],[f15736]) ).
fof(f15859,plain,
( ~ spl144_395
| ~ spl144_106
| ~ spl144_188
| spl144_592 ),
inference(avatar_split_clause,[],[f15821,f15776,f2346,f1946,f3500]) ).
fof(f15821,plain,
( e21 != op2(e21,e21)
| ~ spl144_106
| ~ spl144_188
| spl144_592 ),
inference(forward_demodulation,[],[f15820,f1947]) ).
fof(f15820,plain,
( op2(e21,e21) != h2(e12)
| ~ spl144_106
| ~ spl144_188
| spl144_592 ),
inference(forward_demodulation,[],[f15819,f2348]) ).
fof(f15819,plain,
( op2(e21,e21) != h2(op1(e12,e12))
| ~ spl144_106
| spl144_592 ),
inference(forward_demodulation,[],[f15778,f1947]) ).
fof(f15778,plain,
( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| spl144_592 ),
inference(avatar_component_clause,[],[f15776]) ).
fof(f15825,plain,
( ~ spl144_88
| ~ spl144_361
| spl144_591 ),
inference(avatar_contradiction_clause,[],[f15824]) ).
fof(f15824,plain,
( $false
| ~ spl144_88
| ~ spl144_361
| spl144_591 ),
inference(trivial_inequality_removal,[],[f15823]) ).
fof(f15823,plain,
( h2(e10) != h2(e10)
| ~ spl144_88
| ~ spl144_361
| spl144_591 ),
inference(forward_demodulation,[],[f15822,f1867]) ).
fof(f15822,plain,
( h2(e10) != h2(op1(e12,e11))
| ~ spl144_361
| spl144_591 ),
inference(forward_demodulation,[],[f15774,f3243]) ).
fof(f3243,plain,
( h2(e10) = op2(h2(e12),h2(e11))
| ~ spl144_361 ),
inference(avatar_component_clause,[],[f3241]) ).
fof(f3241,plain,
( spl144_361
<=> h2(e10) = op2(h2(e12),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_361])]) ).
fof(f15774,plain,
( h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| spl144_591 ),
inference(avatar_component_clause,[],[f15772]) ).
fof(f15803,plain,
( ~ spl144_582
| ~ spl144_583
| ~ spl144_584
| ~ spl144_585
| ~ spl144_586
| ~ spl144_587
| ~ spl144_588
| ~ spl144_589
| ~ spl144_590
| ~ spl144_591
| ~ spl144_592
| ~ spl144_593
| ~ spl144_594
| ~ spl144_595
| ~ spl144_596
| ~ spl144_597
| spl144_77
| spl144_75
| spl144_73
| ~ spl144_598 ),
inference(avatar_split_clause,[],[f1178,f15800,f1796,f1805,f1814,f15796,f15792,f15788,f15784,f15780,f15776,f15772,f15768,f15764,f15760,f15756,f15752,f15748,f15744,f15740,f15736]) ).
fof(f15748,plain,
( spl144_585
<=> h2(op1(e10,e13)) = op2(h2(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_585])]) ).
fof(f15764,plain,
( spl144_589
<=> h2(op1(e11,e13)) = op2(h2(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_589])]) ).
fof(f15780,plain,
( spl144_593
<=> h2(op1(e12,e13)) = op2(h2(e12),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_593])]) ).
fof(f15784,plain,
( spl144_594
<=> h2(op1(e13,e10)) = op2(e23,h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_594])]) ).
fof(f15788,plain,
( spl144_595
<=> h2(op1(e13,e11)) = op2(e23,h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_595])]) ).
fof(f15792,plain,
( spl144_596
<=> h2(op1(e13,e12)) = op2(e23,h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_596])]) ).
fof(f15796,plain,
( spl144_597
<=> op2(e23,e23) = h2(op1(e13,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_597])]) ).
fof(f15800,plain,
( spl144_598
<=> e23 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_598])]) ).
fof(f1178,plain,
( e23 != h2(e13)
| sP5
| sP4
| sP3
| op2(e23,e23) != h2(op1(e13,e13))
| h2(op1(e13,e12)) != op2(e23,h2(e12))
| h2(op1(e13,e11)) != op2(e23,h2(e11))
| h2(op1(e13,e10)) != op2(e23,h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),e23)
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),e23)
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),e23)
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(inner_rewriting,[],[f367]) ).
fof(f367,plain,
( e23 != h2(e13)
| sP5
| sP4
| sP3
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f15733,plain,
( ~ spl144_85
| ~ spl144_546
| spl144_572 ),
inference(avatar_split_clause,[],[f15722,f15659,f13607,f1850]) ).
fof(f13607,plain,
( spl144_546
<=> e22 = h3(op1(e10,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_546])]) ).
fof(f15659,plain,
( spl144_572
<=> op2(e23,e23) = h3(op1(e10,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_572])]) ).
fof(f15722,plain,
( e22 != op2(e23,e23)
| ~ spl144_546
| spl144_572 ),
inference(forward_demodulation,[],[f15661,f13609]) ).
fof(f13609,plain,
( e22 = h3(op1(e10,e10))
| ~ spl144_546 ),
inference(avatar_component_clause,[],[f13607]) ).
fof(f15661,plain,
( op2(e23,e23) != h3(op1(e10,e10))
| spl144_572 ),
inference(avatar_component_clause,[],[f15659]) ).
fof(f15728,plain,
( ~ spl144_422
| ~ spl144_30
| ~ spl144_68
| ~ spl144_436
| ~ spl144_553
| spl144_577 ),
inference(avatar_split_clause,[],[f15712,f15679,f14405,f5298,f1773,f1587,f4467]) ).
fof(f1587,plain,
( spl144_30
<=> e22 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_30])]) ).
fof(f15679,plain,
( spl144_577
<=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_577])]) ).
fof(f15712,plain,
( e22 != op2(e22,e22)
| ~ spl144_30
| ~ spl144_68
| ~ spl144_436
| ~ spl144_553
| spl144_577 ),
inference(forward_demodulation,[],[f15711,f1774]) ).
fof(f15711,plain,
( op2(e22,e22) != h3(e10)
| ~ spl144_30
| ~ spl144_436
| ~ spl144_553
| spl144_577 ),
inference(forward_demodulation,[],[f15710,f5300]) ).
fof(f15710,plain,
( op2(e22,e22) != h3(op1(e11,e13))
| ~ spl144_30
| ~ spl144_553
| spl144_577 ),
inference(forward_demodulation,[],[f15709,f14407]) ).
fof(f15709,plain,
( h3(op1(e11,e13)) != op2(h3(e11),e22)
| ~ spl144_30
| spl144_577 ),
inference(forward_demodulation,[],[f15681,f1589]) ).
fof(f1589,plain,
( e22 = h3(e13)
| ~ spl144_30 ),
inference(avatar_component_clause,[],[f1587]) ).
fof(f15681,plain,
( h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| spl144_577 ),
inference(avatar_component_clause,[],[f15679]) ).
fof(f15723,plain,
( ~ spl144_422
| ~ spl144_30
| ~ spl144_180
| ~ spl144_553
| spl144_580 ),
inference(avatar_split_clause,[],[f15703,f15691,f14405,f2308,f1587,f4467]) ).
fof(f15691,plain,
( spl144_580
<=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_580])]) ).
fof(f15703,plain,
( e22 != op2(e22,e22)
| ~ spl144_30
| ~ spl144_180
| ~ spl144_553
| spl144_580 ),
inference(forward_demodulation,[],[f15702,f1589]) ).
fof(f15702,plain,
( op2(e22,e22) != h3(e13)
| ~ spl144_30
| ~ spl144_180
| ~ spl144_553
| spl144_580 ),
inference(forward_demodulation,[],[f15701,f2310]) ).
fof(f15701,plain,
( op2(e22,e22) != h3(op1(e13,e11))
| ~ spl144_30
| ~ spl144_553
| spl144_580 ),
inference(forward_demodulation,[],[f15700,f1589]) ).
fof(f15700,plain,
( h3(op1(e13,e11)) != op2(h3(e13),e22)
| ~ spl144_553
| spl144_580 ),
inference(forward_demodulation,[],[f15693,f14407]) ).
fof(f15693,plain,
( h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| spl144_580 ),
inference(avatar_component_clause,[],[f15691]) ).
fof(f15698,plain,
( ~ spl144_572
| ~ spl144_573
| ~ spl144_574
| ~ spl144_575
| ~ spl144_576
| ~ spl144_504
| ~ spl144_505
| ~ spl144_577
| ~ spl144_578
| ~ spl144_508
| ~ spl144_509
| ~ spl144_566
| ~ spl144_579
| ~ spl144_580
| ~ spl144_569
| ~ spl144_570
| spl144_71
| spl144_69
| spl144_67
| ~ spl144_581 ),
inference(avatar_split_clause,[],[f1177,f15695,f1769,f1778,f1787,f15571,f15567,f15691,f15687,f15555,f12432,f12428,f15683,f15679,f12416,f12412,f15675,f15671,f15667,f15663,f15659]) ).
fof(f15663,plain,
( spl144_573
<=> h3(op1(e10,e11)) = op2(e23,h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_573])]) ).
fof(f15667,plain,
( spl144_574
<=> h3(op1(e10,e12)) = op2(e23,h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_574])]) ).
fof(f15671,plain,
( spl144_575
<=> h3(op1(e10,e13)) = op2(e23,h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_575])]) ).
fof(f15675,plain,
( spl144_576
<=> h3(op1(e11,e10)) = op2(h3(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_576])]) ).
fof(f12416,plain,
( spl144_505
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_505])]) ).
fof(f15683,plain,
( spl144_578
<=> h3(op1(e12,e10)) = op2(h3(e12),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_578])]) ).
fof(f12428,plain,
( spl144_508
<=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_508])]) ).
fof(f12432,plain,
( spl144_509
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_509])]) ).
fof(f15555,plain,
( spl144_566
<=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_566])]) ).
fof(f15687,plain,
( spl144_579
<=> h3(op1(e13,e10)) = op2(h3(e13),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_579])]) ).
fof(f15567,plain,
( spl144_569
<=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_569])]) ).
fof(f15571,plain,
( spl144_570
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_570])]) ).
fof(f1787,plain,
( spl144_71
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_71])]) ).
fof(f1778,plain,
( spl144_69
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_69])]) ).
fof(f1769,plain,
( spl144_67
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_67])]) ).
fof(f15695,plain,
( spl144_581
<=> e23 = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_581])]) ).
fof(f1177,plain,
( e23 != h3(e10)
| sP8
| sP7
| sP6
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),e23)
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),e23)
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),e23)
| h3(op1(e10,e13)) != op2(e23,h3(e13))
| h3(op1(e10,e12)) != op2(e23,h3(e12))
| h3(op1(e10,e11)) != op2(e23,h3(e11))
| op2(e23,e23) != h3(op1(e10,e10)) ),
inference(inner_rewriting,[],[f368]) ).
fof(f368,plain,
( e23 != h3(e10)
| sP8
| sP7
| sP6
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f15653,plain,
( ~ spl144_422
| ~ spl144_30
| ~ spl144_68
| ~ spl144_373
| spl144_567 ),
inference(avatar_split_clause,[],[f15593,f15559,f3327,f1773,f1587,f4467]) ).
fof(f15559,plain,
( spl144_567
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_567])]) ).
fof(f15593,plain,
( e22 != op2(e22,e22)
| ~ spl144_30
| ~ spl144_68
| ~ spl144_373
| spl144_567 ),
inference(forward_demodulation,[],[f15592,f1774]) ).
fof(f15592,plain,
( op2(e22,e22) != h3(e10)
| ~ spl144_30
| ~ spl144_68
| ~ spl144_373
| spl144_567 ),
inference(forward_demodulation,[],[f15591,f3329]) ).
fof(f15591,plain,
( op2(e22,e22) != h3(op1(e13,e10))
| ~ spl144_30
| ~ spl144_68
| spl144_567 ),
inference(forward_demodulation,[],[f15590,f1589]) ).
fof(f15590,plain,
( h3(op1(e13,e10)) != op2(h3(e13),e22)
| ~ spl144_68
| spl144_567 ),
inference(forward_demodulation,[],[f15561,f1774]) ).
fof(f15561,plain,
( h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| spl144_567 ),
inference(avatar_component_clause,[],[f15559]) ).
fof(f15648,plain,
( ~ spl144_422
| ~ spl144_30
| ~ spl144_87
| ~ spl144_96
| ~ spl144_553
| spl144_569 ),
inference(avatar_split_clause,[],[f15586,f15567,f14405,f1901,f1860,f1587,f4467]) ).
fof(f15586,plain,
( e22 != op2(e22,e22)
| ~ spl144_30
| ~ spl144_87
| ~ spl144_96
| ~ spl144_553
| spl144_569 ),
inference(forward_demodulation,[],[f15585,f14407]) ).
fof(f15585,plain,
( op2(e22,e22) != h3(e11)
| ~ spl144_30
| ~ spl144_87
| ~ spl144_96
| spl144_569 ),
inference(forward_demodulation,[],[f15584,f1862]) ).
fof(f15584,plain,
( op2(e22,e22) != h3(op1(e13,e12))
| ~ spl144_30
| ~ spl144_96
| spl144_569 ),
inference(forward_demodulation,[],[f15583,f1589]) ).
fof(f15583,plain,
( h3(op1(e13,e12)) != op2(h3(e13),e22)
| ~ spl144_96
| spl144_569 ),
inference(forward_demodulation,[],[f15569,f1902]) ).
fof(f15569,plain,
( h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| spl144_569 ),
inference(avatar_component_clause,[],[f15567]) ).
fof(f15643,plain,
( ~ spl144_422
| ~ spl144_30
| ~ spl144_96
| ~ spl144_382
| ~ spl144_553
| spl144_566 ),
inference(avatar_split_clause,[],[f15597,f15555,f14405,f3391,f1901,f1587,f4467]) ).
fof(f15597,plain,
( e22 != op2(e22,e22)
| ~ spl144_30
| ~ spl144_96
| ~ spl144_382
| ~ spl144_553
| spl144_566 ),
inference(forward_demodulation,[],[f15596,f14407]) ).
fof(f15596,plain,
( op2(e22,e22) != h3(e11)
| ~ spl144_30
| ~ spl144_96
| ~ spl144_382
| spl144_566 ),
inference(forward_demodulation,[],[f15595,f3393]) ).
fof(f15595,plain,
( op2(e22,e22) != h3(op1(e12,e13))
| ~ spl144_30
| ~ spl144_96
| spl144_566 ),
inference(forward_demodulation,[],[f15594,f1902]) ).
fof(f15594,plain,
( h3(op1(e12,e13)) != op2(h3(e12),e22)
| ~ spl144_30
| spl144_566 ),
inference(forward_demodulation,[],[f15557,f1589]) ).
fof(f15557,plain,
( h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| spl144_566 ),
inference(avatar_component_clause,[],[f15555]) ).
fof(f15636,plain,
( ~ spl144_422
| ~ spl144_201
| spl144_504
| ~ spl144_553 ),
inference(avatar_split_clause,[],[f15626,f14405,f12412,f2408,f4467]) ).
fof(f15626,plain,
( e22 != op2(e22,e22)
| ~ spl144_201
| spl144_504
| ~ spl144_553 ),
inference(forward_demodulation,[],[f15625,f14407]) ).
fof(f15625,plain,
( op2(e22,e22) != h3(e11)
| ~ spl144_201
| spl144_504
| ~ spl144_553 ),
inference(forward_demodulation,[],[f15624,f2410]) ).
fof(f15624,plain,
( op2(e22,e22) != h3(op1(e11,e11))
| spl144_504
| ~ spl144_553 ),
inference(forward_demodulation,[],[f12414,f14407]) ).
fof(f12414,plain,
( h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| spl144_504 ),
inference(avatar_component_clause,[],[f12412]) ).
fof(f15631,plain,
( ~ spl144_422
| ~ spl144_30
| ~ spl144_68
| ~ spl144_370
| spl144_560 ),
inference(avatar_split_clause,[],[f15612,f15531,f3309,f1773,f1587,f4467]) ).
fof(f15531,plain,
( spl144_560
<=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_560])]) ).
fof(f15612,plain,
( e22 != op2(e22,e22)
| ~ spl144_30
| ~ spl144_68
| ~ spl144_370
| spl144_560 ),
inference(forward_demodulation,[],[f15611,f1589]) ).
fof(f15611,plain,
( op2(e22,e22) != h3(e13)
| ~ spl144_30
| ~ spl144_68
| ~ spl144_370
| spl144_560 ),
inference(forward_demodulation,[],[f15610,f3311]) ).
fof(f15610,plain,
( op2(e22,e22) != h3(op1(e10,e13))
| ~ spl144_30
| ~ spl144_68
| spl144_560 ),
inference(forward_demodulation,[],[f15609,f1774]) ).
fof(f15609,plain,
( h3(op1(e10,e13)) != op2(h3(e10),e22)
| ~ spl144_30
| spl144_560 ),
inference(forward_demodulation,[],[f15533,f1589]) ).
fof(f15533,plain,
( h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| spl144_560 ),
inference(avatar_component_clause,[],[f15531]) ).
fof(f15627,plain,
( ~ spl144_553
| ~ spl144_201
| spl144_554 ),
inference(avatar_split_clause,[],[f15621,f15099,f2408,f14405]) ).
fof(f15621,plain,
( e22 != h3(e11)
| ~ spl144_201
| spl144_554 ),
inference(forward_demodulation,[],[f15100,f2410]) ).
fof(f15100,plain,
( e22 != h3(op1(e11,e11))
| spl144_554 ),
inference(avatar_component_clause,[],[f15099]) ).
fof(f15618,plain,
( ~ spl144_85
| ~ spl144_554
| spl144_562 ),
inference(avatar_split_clause,[],[f15606,f15539,f15099,f1850]) ).
fof(f15539,plain,
( spl144_562
<=> op2(e23,e23) = h3(op1(e11,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_562])]) ).
fof(f15606,plain,
( e22 != op2(e23,e23)
| ~ spl144_554
| spl144_562 ),
inference(forward_demodulation,[],[f15541,f15101]) ).
fof(f15101,plain,
( e22 = h3(op1(e11,e11))
| ~ spl144_554 ),
inference(avatar_component_clause,[],[f15099]) ).
fof(f15541,plain,
( op2(e23,e23) != h3(op1(e11,e11))
| spl144_562 ),
inference(avatar_component_clause,[],[f15539]) ).
fof(f15615,plain,
( ~ spl144_422
| ~ spl144_30
| ~ spl144_86
| ~ spl144_96
| spl144_570 ),
inference(avatar_split_clause,[],[f15582,f15571,f1901,f1855,f1587,f4467]) ).
fof(f15582,plain,
( e22 != op2(e22,e22)
| ~ spl144_30
| ~ spl144_86
| ~ spl144_96
| spl144_570 ),
inference(forward_demodulation,[],[f15581,f1902]) ).
fof(f15581,plain,
( op2(e22,e22) != h3(e12)
| ~ spl144_30
| ~ spl144_86
| spl144_570 ),
inference(forward_demodulation,[],[f15580,f1857]) ).
fof(f15580,plain,
( op2(e22,e22) != h3(op1(e13,e13))
| ~ spl144_30
| spl144_570 ),
inference(forward_demodulation,[],[f15573,f1589]) ).
fof(f15573,plain,
( h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| spl144_570 ),
inference(avatar_component_clause,[],[f15571]) ).
fof(f15578,plain,
( ~ spl144_499
| ~ spl144_559
| ~ spl144_501
| ~ spl144_560
| ~ spl144_561
| ~ spl144_562
| ~ spl144_563
| ~ spl144_564
| ~ spl144_507
| ~ spl144_565
| ~ spl144_509
| ~ spl144_566
| ~ spl144_567
| ~ spl144_568
| ~ spl144_569
| ~ spl144_570
| spl144_71
| spl144_69
| spl144_67
| ~ spl144_571 ),
inference(avatar_split_clause,[],[f1176,f15575,f1769,f1778,f1787,f15571,f15567,f15563,f15559,f15555,f12432,f15551,f12424,f15547,f15543,f15539,f15535,f15531,f12400,f15527,f12392]) ).
fof(f12392,plain,
( spl144_499
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_499])]) ).
fof(f15527,plain,
( spl144_559
<=> h3(op1(e10,e11)) = op2(h3(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_559])]) ).
fof(f12400,plain,
( spl144_501
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_501])]) ).
fof(f15535,plain,
( spl144_561
<=> h3(op1(e11,e10)) = op2(e23,h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_561])]) ).
fof(f15543,plain,
( spl144_563
<=> h3(op1(e11,e12)) = op2(e23,h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_563])]) ).
fof(f15547,plain,
( spl144_564
<=> h3(op1(e11,e13)) = op2(e23,h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_564])]) ).
fof(f12424,plain,
( spl144_507
<=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_507])]) ).
fof(f15551,plain,
( spl144_565
<=> h3(op1(e12,e11)) = op2(h3(e12),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_565])]) ).
fof(f15563,plain,
( spl144_568
<=> h3(op1(e13,e11)) = op2(h3(e13),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_568])]) ).
fof(f15575,plain,
( spl144_571
<=> e23 = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_571])]) ).
fof(f1176,plain,
( e23 != h3(e11)
| sP8
| sP7
| sP6
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),e23)
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),e23)
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(e23,h3(e13))
| h3(op1(e11,e12)) != op2(e23,h3(e12))
| op2(e23,e23) != h3(op1(e11,e11))
| h3(op1(e11,e10)) != op2(e23,h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),e23)
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(inner_rewriting,[],[f369]) ).
fof(f369,plain,
( e23 != h3(e11)
| sP8
| sP7
| sP6
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f15521,plain,
( ~ spl144_66
| ~ spl144_352
| ~ spl144_410
| ~ spl144_436
| spl144_468 ),
inference(avatar_split_clause,[],[f15515,f12086,f5298,f4014,f3191,f1764]) ).
fof(f12086,plain,
( spl144_468
<=> h4(op1(e11,e13)) = op2(h4(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_468])]) ).
fof(f15515,plain,
( e20 != h4(e10)
| ~ spl144_352
| ~ spl144_410
| ~ spl144_436
| spl144_468 ),
inference(forward_demodulation,[],[f12672,f5300]) ).
fof(f12672,plain,
( e20 != h4(op1(e11,e13))
| ~ spl144_352
| ~ spl144_410
| spl144_468 ),
inference(forward_demodulation,[],[f12148,f4016]) ).
fof(f12148,plain,
( op2(e21,e23) != h4(op1(e11,e13))
| ~ spl144_352
| spl144_468 ),
inference(forward_demodulation,[],[f12088,f3193]) ).
fof(f12088,plain,
( h4(op1(e11,e13)) != op2(h4(e11),e23)
| spl144_468 ),
inference(avatar_component_clause,[],[f12086]) ).
fof(f15514,plain,
( ~ spl144_66
| ~ spl144_436
| spl144_523 ),
inference(avatar_split_clause,[],[f15204,f12738,f5298,f1764]) ).
fof(f12738,plain,
( spl144_523
<=> e20 = h4(op1(e11,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_523])]) ).
fof(f15204,plain,
( e20 != h4(e10)
| ~ spl144_436
| spl144_523 ),
inference(superposition,[],[f12740,f5300]) ).
fof(f12740,plain,
( e20 != h4(op1(e11,e13))
| spl144_523 ),
inference(avatar_component_clause,[],[f12738]) ).
fof(f15478,plain,
( ~ spl144_558
| ~ spl144_85
| spl144_480 ),
inference(avatar_split_clause,[],[f15381,f12213,f1850,f15475]) ).
fof(f15381,plain,
( e22 != h4(op1(e11,e11))
| ~ spl144_85
| spl144_480 ),
inference(forward_demodulation,[],[f12215,f1852]) ).
fof(f12215,plain,
( op2(e23,e23) != h4(op1(e11,e11))
| spl144_480 ),
inference(avatar_component_clause,[],[f12213]) ).
fof(f15472,plain,
( ~ spl144_547
| ~ spl144_85
| spl144_489 ),
inference(avatar_split_clause,[],[f15356,f12308,f1850,f13655]) ).
fof(f13655,plain,
( spl144_547
<=> e22 = h4(op1(e10,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_547])]) ).
fof(f12308,plain,
( spl144_489
<=> op2(e23,e23) = h4(op1(e10,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_489])]) ).
fof(f15356,plain,
( e22 != h4(op1(e10,e10))
| ~ spl144_85
| spl144_489 ),
inference(forward_demodulation,[],[f12310,f1852]) ).
fof(f12310,plain,
( op2(e23,e23) != h4(op1(e10,e10))
| spl144_489 ),
inference(avatar_component_clause,[],[f12308]) ).
fof(f15470,plain,
( ~ spl144_526
| ~ spl144_370
| spl144_538 ),
inference(avatar_split_clause,[],[f15149,f13020,f3309,f12756]) ).
fof(f12756,plain,
( spl144_526
<=> e22 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_526])]) ).
fof(f13020,plain,
( spl144_538
<=> e22 = h4(op1(e10,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_538])]) ).
fof(f15149,plain,
( e22 != h4(e13)
| ~ spl144_370
| spl144_538 ),
inference(superposition,[],[f13022,f3311]) ).
fof(f13022,plain,
( e22 != h4(op1(e10,e13))
| spl144_538 ),
inference(avatar_component_clause,[],[f13020]) ).
fof(f15467,plain,
( spl144_557
| ~ spl144_106
| ~ spl144_166
| ~ spl144_352
| ~ spl144_466 ),
inference(avatar_split_clause,[],[f14886,f12078,f3191,f2240,f1946,f15464]) ).
fof(f14886,plain,
( e21 = h4(op1(e11,e11))
| ~ spl144_106
| ~ spl144_166
| ~ spl144_352
| ~ spl144_466 ),
inference(forward_demodulation,[],[f14885,f1947]) ).
fof(f14885,plain,
( h2(e12) = h4(op1(e11,e11))
| ~ spl144_166
| ~ spl144_352
| ~ spl144_466 ),
inference(forward_demodulation,[],[f14365,f2242]) ).
fof(f14365,plain,
( op2(e21,e21) = h4(op1(e11,e11))
| ~ spl144_352
| ~ spl144_466 ),
inference(forward_demodulation,[],[f12079,f3193]) ).
fof(f12079,plain,
( h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
| ~ spl144_466 ),
inference(avatar_component_clause,[],[f12078]) ).
fof(f15342,plain,
( spl144_27
| spl144_26
| spl144_23
| ~ spl144_376
| ~ spl144_385
| ~ spl144_427
| ~ spl144_436 ),
inference(avatar_split_clause,[],[f15294,f5298,f4509,f3411,f3347,f1552,f1567,f1572]) ).
fof(f15294,plain,
( e10 = e11
| e11 = e12
| e11 = e13
| ~ spl144_376
| ~ spl144_385
| ~ spl144_427
| ~ spl144_436 ),
inference(forward_demodulation,[],[f15214,f5300]) ).
fof(f15214,plain,
( e11 = e12
| e11 = e13
| e11 = op1(e11,e13)
| ~ spl144_376
| ~ spl144_385
| ~ spl144_427 ),
inference(duplicate_literal_removal,[],[f13766]) ).
fof(f13766,plain,
( e11 = e12
| e11 = e13
| e11 = e12
| e11 = op1(e11,e13)
| ~ spl144_376
| ~ spl144_385
| ~ spl144_427 ),
inference(forward_demodulation,[],[f13161,f4511]) ).
fof(f15332,plain,
( spl144_6
| ~ spl144_32
| ~ spl144_526 ),
inference(avatar_split_clause,[],[f15313,f12756,f1597,f1467]) ).
fof(f15313,plain,
( e22 = e23
| ~ spl144_32
| ~ spl144_526 ),
inference(superposition,[],[f12757,f1599]) ).
fof(f12757,plain,
( e22 = h4(e13)
| ~ spl144_526 ),
inference(avatar_component_clause,[],[f12756]) ).
fof(f15312,plain,
( spl144_526
| ~ spl144_428
| ~ spl144_547 ),
inference(avatar_split_clause,[],[f14667,f13655,f4516,f12756]) ).
fof(f14667,plain,
( e22 = h4(e13)
| ~ spl144_428
| ~ spl144_547 ),
inference(forward_demodulation,[],[f13657,f4518]) ).
fof(f4518,plain,
( op1(e10,e10) = e13
| ~ spl144_428 ),
inference(avatar_component_clause,[],[f4516]) ).
fof(f13657,plain,
( e22 = h4(op1(e10,e10))
| ~ spl144_547 ),
inference(avatar_component_clause,[],[f13655]) ).
fof(f15288,plain,
( spl144_4
| ~ spl144_66
| ~ spl144_86
| ~ spl144_352
| ~ spl144_407
| ~ spl144_427
| ~ spl144_449
| ~ spl144_465 ),
inference(avatar_split_clause,[],[f15283,f12074,f11801,f4509,f3705,f3191,f1855,f1764,f1457]) ).
fof(f11801,plain,
( spl144_449
<=> e11 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_449])]) ).
fof(f12074,plain,
( spl144_465
<=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_465])]) ).
fof(f15283,plain,
( e21 = e22
| ~ spl144_66
| ~ spl144_86
| ~ spl144_352
| ~ spl144_407
| ~ spl144_427
| ~ spl144_449
| ~ spl144_465 ),
inference(forward_demodulation,[],[f15282,f3193]) ).
fof(f15282,plain,
( e22 = h4(e11)
| ~ spl144_66
| ~ spl144_86
| ~ spl144_352
| ~ spl144_407
| ~ spl144_427
| ~ spl144_449
| ~ spl144_465 ),
inference(forward_demodulation,[],[f14729,f15269]) ).
fof(f15269,plain,
( e11 = op1(e11,e10)
| ~ spl144_86
| ~ spl144_427
| ~ spl144_449 ),
inference(forward_demodulation,[],[f4511,f13982]) ).
fof(f13982,plain,
( e11 = e12
| ~ spl144_86
| ~ spl144_449 ),
inference(superposition,[],[f11802,f1857]) ).
fof(f11802,plain,
( e11 = op1(e13,e13)
| ~ spl144_449 ),
inference(avatar_component_clause,[],[f11801]) ).
fof(f14729,plain,
( e22 = h4(op1(e11,e10))
| ~ spl144_66
| ~ spl144_352
| ~ spl144_407
| ~ spl144_465 ),
inference(forward_demodulation,[],[f14371,f3707]) ).
fof(f14371,plain,
( op2(e21,e20) = h4(op1(e11,e10))
| ~ spl144_66
| ~ spl144_352
| ~ spl144_465 ),
inference(forward_demodulation,[],[f14370,f3193]) ).
fof(f14370,plain,
( h4(op1(e11,e10)) = op2(h4(e11),e20)
| ~ spl144_66
| ~ spl144_465 ),
inference(forward_demodulation,[],[f12075,f1765]) ).
fof(f12075,plain,
( h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
| ~ spl144_465 ),
inference(avatar_component_clause,[],[f12074]) ).
fof(f15271,plain,
( spl144_6
| ~ spl144_32
| ~ spl144_66
| ~ spl144_352
| ~ spl144_407
| ~ spl144_436
| ~ spl144_460
| ~ spl144_465 ),
inference(avatar_split_clause,[],[f15237,f12074,f12018,f5298,f3705,f3191,f1764,f1597,f1467]) ).
fof(f15237,plain,
( e22 = e23
| ~ spl144_32
| ~ spl144_66
| ~ spl144_352
| ~ spl144_407
| ~ spl144_436
| ~ spl144_460
| ~ spl144_465 ),
inference(forward_demodulation,[],[f15236,f3707]) ).
fof(f15236,plain,
( e23 = op2(e21,e20)
| ~ spl144_32
| ~ spl144_66
| ~ spl144_352
| ~ spl144_436
| ~ spl144_460
| ~ spl144_465 ),
inference(forward_demodulation,[],[f15235,f1599]) ).
fof(f15235,plain,
( op2(e21,e20) = h4(e13)
| ~ spl144_66
| ~ spl144_352
| ~ spl144_436
| ~ spl144_460
| ~ spl144_465 ),
inference(forward_demodulation,[],[f14371,f15203]) ).
fof(f15210,plain,
( spl144_201
| spl144_226
| spl144_23
| spl144_27
| ~ spl144_429
| ~ spl144_457 ),
inference(avatar_split_clause,[],[f14888,f12006,f4520,f1572,f1552,f2527,f2408]) ).
fof(f2527,plain,
( spl144_226
<=> e11 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_226])]) ).
fof(f14888,plain,
( e11 = e13
| e10 = e11
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| ~ spl144_429
| ~ spl144_457 ),
inference(forward_demodulation,[],[f14887,f4522]) ).
fof(f4522,plain,
( e13 = op1(e11,e10)
| ~ spl144_429 ),
inference(avatar_component_clause,[],[f4520]) ).
fof(f14887,plain,
( e10 = e11
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10)
| ~ spl144_429
| ~ spl144_457 ),
inference(forward_demodulation,[],[f580,f12039]) ).
fof(f12039,plain,
( e10 = op1(e11,e13)
| ~ spl144_429
| ~ spl144_457 ),
inference(forward_demodulation,[],[f12008,f4522]) ).
fof(f15205,plain,
( spl144_449
| spl144_27
| spl144_23
| ~ spl144_370
| ~ spl144_372
| ~ spl144_429
| ~ spl144_457 ),
inference(avatar_split_clause,[],[f15019,f12006,f4520,f3317,f3309,f1552,f1572,f11801]) ).
fof(f3317,plain,
( spl144_372
<=> e13 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_372])]) ).
fof(f15019,plain,
( e10 = e11
| e11 = e13
| e11 = op1(e13,e13)
| ~ spl144_370
| ~ spl144_372
| ~ spl144_429
| ~ spl144_457 ),
inference(forward_demodulation,[],[f14872,f12039]) ).
fof(f14872,plain,
( e11 = e13
| e11 = op1(e13,e13)
| e11 = op1(e11,e13)
| ~ spl144_370
| ~ spl144_372 ),
inference(duplicate_literal_removal,[],[f13555]) ).
fof(f13555,plain,
( e11 = e13
| e11 = e13
| e11 = op1(e13,e13)
| e11 = op1(e11,e13)
| ~ spl144_370
| ~ spl144_372 ),
inference(forward_demodulation,[],[f13554,f3311]) ).
fof(f13554,plain,
( e11 = e13
| e11 = op1(e13,e13)
| e11 = op1(e11,e13)
| e11 = op1(e10,e13)
| ~ spl144_372 ),
inference(forward_demodulation,[],[f597,f3319]) ).
fof(f3319,plain,
( e13 = op1(e12,e13)
| ~ spl144_372 ),
inference(avatar_component_clause,[],[f3317]) ).
fof(f597,plain,
( e11 = op1(e13,e13)
| e11 = op1(e12,e13)
| e11 = op1(e11,e13)
| e11 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f15196,plain,
( spl144_436
| ~ spl144_429
| ~ spl144_457 ),
inference(avatar_split_clause,[],[f12039,f12006,f4520,f5298]) ).
fof(f15121,plain,
( spl144_4
| ~ spl144_352
| ~ spl144_386
| ~ spl144_556 ),
inference(avatar_split_clause,[],[f15120,f15115,f3418,f3191,f1457]) ).
fof(f3418,plain,
( spl144_386
<=> e11 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_386])]) ).
fof(f15115,plain,
( spl144_556
<=> e22 = h4(op1(e10,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_556])]) ).
fof(f15120,plain,
( e21 = e22
| ~ spl144_352
| ~ spl144_386
| ~ spl144_556 ),
inference(forward_demodulation,[],[f15119,f3193]) ).
fof(f15119,plain,
( e22 = h4(e11)
| ~ spl144_386
| ~ spl144_556 ),
inference(forward_demodulation,[],[f15117,f3420]) ).
fof(f3420,plain,
( e11 = op1(e10,e11)
| ~ spl144_386 ),
inference(avatar_component_clause,[],[f3418]) ).
fof(f15117,plain,
( e22 = h4(op1(e10,e11))
| ~ spl144_556 ),
inference(avatar_component_clause,[],[f15115]) ).
fof(f15118,plain,
( spl144_556
| ~ spl144_66
| ~ spl144_352
| ~ spl144_404
| ~ spl144_462 ),
inference(avatar_split_clause,[],[f14895,f12062,f3662,f3191,f1764,f15115]) ).
fof(f12062,plain,
( spl144_462
<=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_462])]) ).
fof(f14895,plain,
( e22 = h4(op1(e10,e11))
| ~ spl144_66
| ~ spl144_352
| ~ spl144_404
| ~ spl144_462 ),
inference(forward_demodulation,[],[f14376,f3664]) ).
fof(f14376,plain,
( op2(e20,e21) = h4(op1(e10,e11))
| ~ spl144_66
| ~ spl144_352
| ~ spl144_462 ),
inference(forward_demodulation,[],[f14375,f1765]) ).
fof(f14375,plain,
( h4(op1(e10,e11)) = op2(h4(e10),e21)
| ~ spl144_352
| ~ spl144_462 ),
inference(forward_demodulation,[],[f12063,f3193]) ).
fof(f12063,plain,
( h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
| ~ spl144_462 ),
inference(avatar_component_clause,[],[f12062]) ).
fof(f15112,plain,
( ~ spl144_525
| ~ spl144_32
| ~ spl144_85
| spl144_482 ),
inference(avatar_split_clause,[],[f14804,f12221,f1850,f1597,f12750]) ).
fof(f12750,plain,
( spl144_525
<=> e22 = h4(op1(e11,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_525])]) ).
fof(f12221,plain,
( spl144_482
<=> h4(op1(e11,e13)) = op2(e23,h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_482])]) ).
fof(f14804,plain,
( e22 != h4(op1(e11,e13))
| ~ spl144_32
| ~ spl144_85
| spl144_482 ),
inference(forward_demodulation,[],[f13959,f1852]) ).
fof(f13959,plain,
( op2(e23,e23) != h4(op1(e11,e13))
| ~ spl144_32
| spl144_482 ),
inference(forward_demodulation,[],[f12223,f1599]) ).
fof(f12223,plain,
( h4(op1(e11,e13)) != op2(e23,h4(e13))
| spl144_482 ),
inference(avatar_component_clause,[],[f12221]) ).
fof(f15110,plain,
( ~ spl144_521
| ~ spl144_96
| ~ spl144_349
| ~ spl144_393
| ~ spl144_422
| spl144_506 ),
inference(avatar_split_clause,[],[f14802,f12420,f4467,f3479,f3174,f1901,f12726]) ).
fof(f12726,plain,
( spl144_521
<=> e21 = h3(op1(e11,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_521])]) ).
fof(f3174,plain,
( spl144_349
<=> h3(e11) = op2(e22,h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_349])]) ).
fof(f12420,plain,
( spl144_506
<=> h3(op1(e11,e13)) = op2(h3(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_506])]) ).
fof(f14802,plain,
( e21 != h3(op1(e11,e13))
| ~ spl144_96
| ~ spl144_349
| ~ spl144_393
| ~ spl144_422
| spl144_506 ),
inference(forward_demodulation,[],[f14352,f3481]) ).
fof(f14352,plain,
( op2(e22,e23) != h3(op1(e11,e13))
| ~ spl144_96
| ~ spl144_349
| ~ spl144_422
| spl144_506 ),
inference(forward_demodulation,[],[f12422,f11749]) ).
fof(f11749,plain,
( e22 = h3(e11)
| ~ spl144_96
| ~ spl144_349
| ~ spl144_422 ),
inference(forward_demodulation,[],[f8105,f4469]) ).
fof(f4469,plain,
( e22 = op2(e22,e22)
| ~ spl144_422 ),
inference(avatar_component_clause,[],[f4467]) ).
fof(f8105,plain,
( op2(e22,e22) = h3(e11)
| ~ spl144_96
| ~ spl144_349 ),
inference(superposition,[],[f3176,f1902]) ).
fof(f3176,plain,
( h3(e11) = op2(e22,h3(e12))
| ~ spl144_349 ),
inference(avatar_component_clause,[],[f3174]) ).
fof(f12422,plain,
( h3(op1(e11,e13)) != op2(h3(e11),e23)
| spl144_506 ),
inference(avatar_component_clause,[],[f12420]) ).
fof(f15108,plain,
( spl144_555
| ~ spl144_96
| ~ spl144_165
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_500 ),
inference(avatar_split_clause,[],[f14214,f12396,f4467,f3236,f3174,f2235,f1901,f15105]) ).
fof(f15105,plain,
( spl144_555
<=> e22 = h3(op1(e10,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_555])]) ).
fof(f3236,plain,
( spl144_360
<=> h3(e10) = op2(h3(e12),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_360])]) ).
fof(f12396,plain,
( spl144_500
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_500])]) ).
fof(f14214,plain,
( e22 = h3(op1(e10,e11))
| ~ spl144_96
| ~ spl144_165
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_500 ),
inference(forward_demodulation,[],[f14213,f1902]) ).
fof(f14213,plain,
( h3(e12) = h3(op1(e10,e11))
| ~ spl144_96
| ~ spl144_165
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_500 ),
inference(forward_demodulation,[],[f12531,f2237]) ).
fof(f12531,plain,
( op2(e22,e22) = h3(op1(e10,e11))
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_500 ),
inference(forward_demodulation,[],[f12530,f11751]) ).
fof(f11751,plain,
( e22 = h3(e10)
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422 ),
inference(forward_demodulation,[],[f11750,f4469]) ).
fof(f11750,plain,
( op2(e22,e22) = h3(e10)
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422 ),
inference(forward_demodulation,[],[f8104,f11749]) ).
fof(f8104,plain,
( h3(e10) = op2(e22,h3(e11))
| ~ spl144_96
| ~ spl144_360 ),
inference(superposition,[],[f3238,f1902]) ).
fof(f3238,plain,
( h3(e10) = op2(h3(e12),h3(e11))
| ~ spl144_360 ),
inference(avatar_component_clause,[],[f3236]) ).
fof(f12530,plain,
( h3(op1(e10,e11)) = op2(h3(e10),e22)
| ~ spl144_96
| ~ spl144_349
| ~ spl144_422
| ~ spl144_500 ),
inference(forward_demodulation,[],[f12397,f11749]) ).
fof(f12397,plain,
( h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
| ~ spl144_500 ),
inference(avatar_component_clause,[],[f12396]) ).
fof(f15102,plain,
( spl144_554
| ~ spl144_96
| ~ spl144_165
| ~ spl144_349
| ~ spl144_422
| ~ spl144_504 ),
inference(avatar_split_clause,[],[f14206,f12412,f4467,f3174,f2235,f1901,f15099]) ).
fof(f14206,plain,
( e22 = h3(op1(e11,e11))
| ~ spl144_96
| ~ spl144_165
| ~ spl144_349
| ~ spl144_422
| ~ spl144_504 ),
inference(forward_demodulation,[],[f14205,f1902]) ).
fof(f14205,plain,
( h3(e12) = h3(op1(e11,e11))
| ~ spl144_96
| ~ spl144_165
| ~ spl144_349
| ~ spl144_422
| ~ spl144_504 ),
inference(forward_demodulation,[],[f12545,f2237]) ).
fof(f12545,plain,
( op2(e22,e22) = h3(op1(e11,e11))
| ~ spl144_96
| ~ spl144_349
| ~ spl144_422
| ~ spl144_504 ),
inference(forward_demodulation,[],[f12413,f11749]) ).
fof(f15088,plain,
( spl144_4
| ~ spl144_85
| ~ spl144_106
| ~ spl144_166
| ~ spl144_352
| ~ spl144_466
| ~ spl144_480 ),
inference(avatar_split_clause,[],[f14938,f12213,f12078,f3191,f2240,f1946,f1850,f1457]) ).
fof(f14938,plain,
( e21 = e22
| ~ spl144_85
| ~ spl144_106
| ~ spl144_166
| ~ spl144_352
| ~ spl144_466
| ~ spl144_480 ),
inference(forward_demodulation,[],[f14208,f14886]) ).
fof(f14863,plain,
( spl144_5
| ~ spl144_352
| ~ spl144_425
| ~ spl144_539 ),
inference(avatar_split_clause,[],[f14811,f13044,f4498,f3191,f1462]) ).
fof(f4498,plain,
( spl144_425
<=> e11 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_425])]) ).
fof(f13044,plain,
( spl144_539
<=> e23 = h4(op1(e10,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_539])]) ).
fof(f14811,plain,
( e21 = e23
| ~ spl144_352
| ~ spl144_425
| ~ spl144_539 ),
inference(forward_demodulation,[],[f14810,f3193]) ).
fof(f14810,plain,
( e23 = h4(e11)
| ~ spl144_425
| ~ spl144_539 ),
inference(forward_demodulation,[],[f13045,f4500]) ).
fof(f4500,plain,
( e11 = op1(e10,e13)
| ~ spl144_425 ),
inference(avatar_component_clause,[],[f4498]) ).
fof(f13045,plain,
( e23 = h4(op1(e10,e13))
| ~ spl144_539 ),
inference(avatar_component_clause,[],[f13044]) ).
fof(f14790,plain,
( spl144_289
| spl144_24
| spl144_28
| spl144_26
| ~ spl144_377
| ~ spl144_381 ),
inference(avatar_split_clause,[],[f5271,f3387,f3351,f1567,f1577,f1557,f2861]) ).
fof(f2861,plain,
( spl144_289
<=> e12 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_289])]) ).
fof(f3351,plain,
( spl144_377
<=> e13 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_377])]) ).
fof(f5271,plain,
( e11 = e12
| e12 = e13
| e10 = e12
| e12 = op1(e12,e13)
| ~ spl144_377
| ~ spl144_381 ),
inference(forward_demodulation,[],[f5270,f3389]) ).
fof(f3389,plain,
( e11 = op1(e12,e10)
| ~ spl144_381 ),
inference(avatar_component_clause,[],[f3387]) ).
fof(f5270,plain,
( e12 = e13
| e10 = e12
| e12 = op1(e12,e13)
| e12 = op1(e12,e10)
| ~ spl144_377 ),
inference(forward_demodulation,[],[f1261,f3353]) ).
fof(f3353,plain,
( e13 = op1(e12,e12)
| ~ spl144_377 ),
inference(avatar_component_clause,[],[f3351]) ).
fof(f1261,plain,
( e10 = e12
| e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e10) ),
inference(forward_demodulation,[],[f590,f1227]) ).
fof(f1227,plain,
e10 = op1(e12,e11),
inference(forward_demodulation,[],[f1226,f1225]) ).
fof(f1225,plain,
e11 = op1(e13,e12),
inference(forward_demodulation,[],[f520,f521]) ).
fof(f520,plain,
e11 = op1(e13,op1(e13,e13)),
inference(cnf_transformation,[],[f12]) ).
fof(f1226,plain,
e10 = op1(e12,op1(e13,e12)),
inference(forward_demodulation,[],[f519,f521]) ).
fof(f519,plain,
e10 = op1(op1(e13,e13),op1(e13,op1(e13,e13))),
inference(cnf_transformation,[],[f12]) ).
fof(f590,plain,
( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f14782,plain,
( ~ spl144_548
| ~ spl144_66
| ~ spl144_108
| ~ spl144_164
| spl144_461 ),
inference(avatar_split_clause,[],[f14731,f12058,f2230,f1955,f1764,f13838]) ).
fof(f13838,plain,
( spl144_548
<=> e21 = h4(op1(e10,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_548])]) ).
fof(f12058,plain,
( spl144_461
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_461])]) ).
fof(f14731,plain,
( e21 != h4(op1(e10,e10))
| ~ spl144_66
| ~ spl144_108
| ~ spl144_164
| spl144_461 ),
inference(forward_demodulation,[],[f14730,f1957]) ).
fof(f14730,plain,
( h1(e12) != h4(op1(e10,e10))
| ~ spl144_66
| ~ spl144_164
| spl144_461 ),
inference(forward_demodulation,[],[f14639,f2232]) ).
fof(f14639,plain,
( op2(e20,e20) != h4(op1(e10,e10))
| ~ spl144_66
| spl144_461 ),
inference(forward_demodulation,[],[f12060,f1765]) ).
fof(f12060,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| spl144_461 ),
inference(avatar_component_clause,[],[f12058]) ).
fof(f14769,plain,
( spl144_526
| ~ spl144_429
| ~ spl144_535 ),
inference(avatar_split_clause,[],[f14768,f12848,f4520,f12756]) ).
fof(f12848,plain,
( spl144_535
<=> e22 = h4(op1(e11,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_535])]) ).
fof(f14768,plain,
( e22 = h4(e13)
| ~ spl144_429
| ~ spl144_535 ),
inference(forward_demodulation,[],[f12849,f4522]) ).
fof(f12849,plain,
( e22 = h4(op1(e11,e10))
| ~ spl144_535 ),
inference(avatar_component_clause,[],[f12848]) ).
fof(f14767,plain,
( spl144_535
| ~ spl144_66
| ~ spl144_352
| ~ spl144_407
| ~ spl144_465 ),
inference(avatar_split_clause,[],[f14729,f12074,f3705,f3191,f1764,f12848]) ).
fof(f14726,plain,
( spl144_28
| ~ spl144_384
| ~ spl144_425
| ~ spl144_456 ),
inference(avatar_split_clause,[],[f14724,f11835,f4498,f3407,f1577]) ).
fof(f11835,plain,
( spl144_456
<=> e13 = op1(e10,op1(e10,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_456])]) ).
fof(f14724,plain,
( e12 = e13
| ~ spl144_384
| ~ spl144_425
| ~ spl144_456 ),
inference(forward_demodulation,[],[f14723,f3409]) ).
fof(f14723,plain,
( e13 = op1(e10,e11)
| ~ spl144_425
| ~ spl144_456 ),
inference(forward_demodulation,[],[f11837,f4500]) ).
fof(f11837,plain,
( e13 = op1(e10,op1(e10,e13))
| ~ spl144_456 ),
inference(avatar_component_clause,[],[f11835]) ).
fof(f14721,plain,
( spl144_209
| ~ spl144_428
| ~ spl144_453 ),
inference(avatar_split_clause,[],[f14187,f11823,f4516,f2446]) ).
fof(f2446,plain,
( spl144_209
<=> e10 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_209])]) ).
fof(f11823,plain,
( spl144_453
<=> e10 = op1(e10,op1(e10,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_453])]) ).
fof(f14187,plain,
( e10 = op1(e10,e13)
| ~ spl144_428
| ~ spl144_453 ),
inference(forward_demodulation,[],[f11825,f4518]) ).
fof(f11825,plain,
( e10 = op1(e10,op1(e10,e10))
| ~ spl144_453 ),
inference(avatar_component_clause,[],[f11823]) ).
fof(f14668,plain,
( spl144_526
| ~ spl144_428
| ~ spl144_547 ),
inference(avatar_split_clause,[],[f14667,f13655,f4516,f12756]) ).
fof(f14666,plain,
( spl144_547
| ~ spl144_85
| ~ spl144_489 ),
inference(avatar_split_clause,[],[f14650,f12308,f1850,f13655]) ).
fof(f14650,plain,
( e22 = h4(op1(e10,e10))
| ~ spl144_85
| ~ spl144_489 ),
inference(forward_demodulation,[],[f12309,f1852]) ).
fof(f12309,plain,
( op2(e23,e23) = h4(op1(e10,e10))
| ~ spl144_489 ),
inference(avatar_component_clause,[],[f12308]) ).
fof(f14663,plain,
( ~ spl144_548
| ~ spl144_66
| ~ spl144_108
| ~ spl144_164
| spl144_461 ),
inference(avatar_split_clause,[],[f13734,f12058,f2230,f1955,f1764,f13838]) ).
fof(f13734,plain,
( e21 != h4(op1(e10,e10))
| ~ spl144_66
| ~ spl144_108
| ~ spl144_164
| spl144_461 ),
inference(forward_demodulation,[],[f13733,f1957]) ).
fof(f13733,plain,
( h1(e12) != h4(op1(e10,e10))
| ~ spl144_66
| ~ spl144_164
| spl144_461 ),
inference(forward_demodulation,[],[f12173,f2232]) ).
fof(f12173,plain,
( op2(e20,e20) != h4(op1(e10,e10))
| ~ spl144_66
| spl144_461 ),
inference(forward_demodulation,[],[f12060,f1765]) ).
fof(f14648,plain,
( spl144_28
| ~ spl144_213
| ~ spl144_428
| ~ spl144_455 ),
inference(avatar_split_clause,[],[f14586,f11831,f4516,f2465,f1577]) ).
fof(f11831,plain,
( spl144_455
<=> e12 = op1(e10,op1(e10,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_455])]) ).
fof(f14586,plain,
( e12 = e13
| ~ spl144_213
| ~ spl144_428
| ~ spl144_455 ),
inference(forward_demodulation,[],[f4518,f13549]) ).
fof(f13549,plain,
( op1(e10,e10) = e12
| ~ spl144_213
| ~ spl144_455 ),
inference(superposition,[],[f11833,f2467]) ).
fof(f11833,plain,
( e12 = op1(e10,op1(e10,e12))
| ~ spl144_455 ),
inference(avatar_component_clause,[],[f11831]) ).
fof(f14642,plain,
( ~ spl144_168
| ~ spl144_85
| ~ spl144_213
| ~ spl144_455
| spl144_489 ),
inference(avatar_split_clause,[],[f14597,f12308,f11831,f2465,f1850,f2251]) ).
fof(f14597,plain,
( e22 != h4(e12)
| ~ spl144_85
| ~ spl144_213
| ~ spl144_455
| spl144_489 ),
inference(forward_demodulation,[],[f13730,f13549]) ).
fof(f13730,plain,
( e22 != h4(op1(e10,e10))
| ~ spl144_85
| spl144_489 ),
inference(forward_demodulation,[],[f12310,f1852]) ).
fof(f14632,plain,
( spl144_4
| ~ spl144_66
| ~ spl144_168
| ~ spl144_213
| ~ spl144_418
| ~ spl144_455
| ~ spl144_461 ),
inference(avatar_split_clause,[],[f14589,f12058,f11831,f4402,f2465,f2251,f1764,f1457]) ).
fof(f4402,plain,
( spl144_418
<=> op2(e20,e20) = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_418])]) ).
fof(f14589,plain,
( e21 = e22
| ~ spl144_66
| ~ spl144_168
| ~ spl144_213
| ~ spl144_418
| ~ spl144_455
| ~ spl144_461 ),
inference(forward_demodulation,[],[f14588,f4404]) ).
fof(f4404,plain,
( op2(e20,e20) = e21
| ~ spl144_418 ),
inference(avatar_component_clause,[],[f4402]) ).
fof(f14588,plain,
( op2(e20,e20) = e22
| ~ spl144_66
| ~ spl144_168
| ~ spl144_213
| ~ spl144_455
| ~ spl144_461 ),
inference(forward_demodulation,[],[f14587,f2253]) ).
fof(f14587,plain,
( op2(e20,e20) = h4(e12)
| ~ spl144_66
| ~ spl144_213
| ~ spl144_455
| ~ spl144_461 ),
inference(forward_demodulation,[],[f14383,f13549]) ).
fof(f14383,plain,
( op2(e20,e20) = h4(op1(e10,e10))
| ~ spl144_66
| ~ spl144_461 ),
inference(forward_demodulation,[],[f12059,f1765]) ).
fof(f12059,plain,
( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
| ~ spl144_461 ),
inference(avatar_component_clause,[],[f12058]) ).
fof(f14578,plain,
( spl144_27
| ~ spl144_424
| ~ spl144_428 ),
inference(avatar_split_clause,[],[f14553,f4516,f4494,f1572]) ).
fof(f14553,plain,
( e11 = e13
| ~ spl144_424
| ~ spl144_428 ),
inference(forward_demodulation,[],[f4518,f4496]) ).
fof(f14576,plain,
( ~ spl144_542
| ~ spl144_168
| ~ spl144_258
| spl144_491 ),
inference(avatar_split_clause,[],[f14540,f12316,f2694,f2251,f13299]) ).
fof(f13299,plain,
( spl144_542
<=> e21 = h4(op1(e10,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_542])]) ).
fof(f12316,plain,
( spl144_491
<=> h4(op1(e10,e12)) = op2(e23,h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_491])]) ).
fof(f14540,plain,
( e21 != h4(op1(e10,e12))
| ~ spl144_168
| ~ spl144_258
| spl144_491 ),
inference(forward_demodulation,[],[f14492,f2696]) ).
fof(f14492,plain,
( op2(e23,e22) != h4(op1(e10,e12))
| ~ spl144_168
| spl144_491 ),
inference(forward_demodulation,[],[f12318,f2253]) ).
fof(f12318,plain,
( h4(op1(e10,e12)) != op2(e23,h4(e12))
| spl144_491 ),
inference(avatar_component_clause,[],[f12316]) ).
fof(f14573,plain,
( ~ spl144_531
| ~ spl144_168
| ~ spl144_393
| spl144_495 ),
inference(avatar_split_clause,[],[f14534,f12332,f3479,f2251,f12812]) ).
fof(f12812,plain,
( spl144_531
<=> e21 = h4(op1(e12,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_531])]) ).
fof(f12332,plain,
( spl144_495
<=> h4(op1(e12,e10)) = op2(h4(e12),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_495])]) ).
fof(f14534,plain,
( e21 != h4(op1(e12,e10))
| ~ spl144_168
| ~ spl144_393
| spl144_495 ),
inference(forward_demodulation,[],[f14295,f3481]) ).
fof(f14295,plain,
( op2(e22,e23) != h4(op1(e12,e10))
| ~ spl144_168
| spl144_495 ),
inference(forward_demodulation,[],[f12334,f2253]) ).
fof(f12334,plain,
( h4(op1(e12,e10)) != op2(h4(e12),e23)
| spl144_495 ),
inference(avatar_component_clause,[],[f12332]) ).
fof(f14570,plain,
( ~ spl144_539
| ~ spl144_32
| ~ spl144_66
| ~ spl144_364
| spl144_478 ),
inference(avatar_split_clause,[],[f14520,f12205,f3269,f1764,f1597,f13044]) ).
fof(f12205,plain,
( spl144_478
<=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_478])]) ).
fof(f14520,plain,
( e23 != h4(op1(e10,e13))
| ~ spl144_32
| ~ spl144_66
| ~ spl144_364
| spl144_478 ),
inference(forward_demodulation,[],[f14053,f3271]) ).
fof(f14053,plain,
( op2(e20,e23) != h4(op1(e10,e13))
| ~ spl144_32
| ~ spl144_66
| spl144_478 ),
inference(forward_demodulation,[],[f14052,f1765]) ).
fof(f14052,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e23)
| ~ spl144_32
| spl144_478 ),
inference(forward_demodulation,[],[f12207,f1599]) ).
fof(f12207,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| spl144_478 ),
inference(avatar_component_clause,[],[f12205]) ).
fof(f14515,plain,
( spl144_188
| spl144_24
| spl144_26
| spl144_28
| ~ spl144_378
| ~ spl144_382 ),
inference(avatar_split_clause,[],[f12964,f3391,f3360,f1577,f1567,f1557,f2346]) ).
fof(f12964,plain,
( e12 = e13
| e11 = e12
| e10 = e12
| e12 = op1(e12,e12)
| ~ spl144_378
| ~ spl144_382 ),
inference(forward_demodulation,[],[f12963,f3362]) ).
fof(f12963,plain,
( e11 = e12
| e10 = e12
| e12 = op1(e12,e12)
| e12 = op1(e12,e10)
| ~ spl144_382 ),
inference(forward_demodulation,[],[f1261,f3393]) ).
fof(f14478,plain,
( spl144_4
| ~ spl144_168
| ~ spl144_258
| ~ spl144_379
| ~ spl144_491 ),
inference(avatar_split_clause,[],[f14461,f12316,f3371,f2694,f2251,f1457]) ).
fof(f3371,plain,
( spl144_379
<=> e12 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_379])]) ).
fof(f14461,plain,
( e21 = e22
| ~ spl144_168
| ~ spl144_258
| ~ spl144_379
| ~ spl144_491 ),
inference(forward_demodulation,[],[f14165,f2696]) ).
fof(f14165,plain,
( e22 = op2(e23,e22)
| ~ spl144_168
| ~ spl144_379
| ~ spl144_491 ),
inference(forward_demodulation,[],[f14164,f2253]) ).
fof(f14164,plain,
( op2(e23,e22) = h4(e12)
| ~ spl144_168
| ~ spl144_379
| ~ spl144_491 ),
inference(forward_demodulation,[],[f14163,f3373]) ).
fof(f3373,plain,
( e12 = op1(e10,e12)
| ~ spl144_379 ),
inference(avatar_component_clause,[],[f3371]) ).
fof(f14163,plain,
( op2(e23,e22) = h4(op1(e10,e12))
| ~ spl144_168
| ~ spl144_491 ),
inference(forward_demodulation,[],[f12317,f2253]) ).
fof(f12317,plain,
( h4(op1(e10,e12)) = op2(e23,h4(e12))
| ~ spl144_491 ),
inference(avatar_component_clause,[],[f12316]) ).
fof(f14446,plain,
( spl144_436
| spl144_23
| spl144_25
| spl144_24
| ~ spl144_201
| ~ spl144_376
| ~ spl144_427 ),
inference(avatar_split_clause,[],[f14267,f4509,f3347,f2408,f1557,f1562,f1552,f5298]) ).
fof(f14267,plain,
( e10 = e12
| e10 = e13
| e10 = e11
| e10 = op1(e11,e13)
| ~ spl144_201
| ~ spl144_376
| ~ spl144_427 ),
inference(forward_demodulation,[],[f14266,f4511]) ).
fof(f14266,plain,
( e10 = e13
| e10 = e11
| e10 = op1(e11,e13)
| e10 = op1(e11,e10)
| ~ spl144_201
| ~ spl144_376 ),
inference(forward_demodulation,[],[f5809,f3349]) ).
fof(f5809,plain,
( e10 = e11
| e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e10)
| ~ spl144_201 ),
inference(forward_demodulation,[],[f578,f2410]) ).
fof(f578,plain,
( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f14439,plain,
( spl144_68
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422 ),
inference(avatar_split_clause,[],[f11751,f4467,f3236,f3174,f1901,f1773]) ).
fof(f14437,plain,
( ~ spl144_428
| ~ spl144_209
| spl144_456 ),
inference(avatar_split_clause,[],[f13277,f11835,f2446,f4516]) ).
fof(f13277,plain,
( op1(e10,e10) != e13
| ~ spl144_209
| spl144_456 ),
inference(forward_demodulation,[],[f11836,f2448]) ).
fof(f2448,plain,
( e10 = op1(e10,e13)
| ~ spl144_209 ),
inference(avatar_component_clause,[],[f2446]) ).
fof(f11836,plain,
( e13 != op1(e10,op1(e10,e13))
| spl144_456 ),
inference(avatar_component_clause,[],[f11835]) ).
fof(f14408,plain,
( spl144_553
| ~ spl144_96
| ~ spl144_349
| ~ spl144_422 ),
inference(avatar_split_clause,[],[f11749,f4467,f3174,f1901,f14405]) ).
fof(f14392,plain,
( ~ spl144_552
| ~ spl144_352
| ~ spl144_368
| spl144_490 ),
inference(avatar_split_clause,[],[f14216,f12312,f3291,f3191,f14389]) ).
fof(f14389,plain,
( spl144_552
<=> e23 = h4(op1(e10,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_552])]) ).
fof(f14216,plain,
( e23 != h4(op1(e10,e11))
| ~ spl144_352
| ~ spl144_368
| spl144_490 ),
inference(forward_demodulation,[],[f12374,f3293]) ).
fof(f14386,plain,
( spl144_542
| ~ spl144_168
| ~ spl144_258
| ~ spl144_491 ),
inference(avatar_split_clause,[],[f14201,f12316,f2694,f2251,f13299]) ).
fof(f14201,plain,
( e21 = h4(op1(e10,e12))
| ~ spl144_168
| ~ spl144_258
| ~ spl144_491 ),
inference(forward_demodulation,[],[f14163,f2696]) ).
fof(f14381,plain,
( ~ spl144_352
| ~ spl144_424
| spl144_548 ),
inference(avatar_split_clause,[],[f14380,f13838,f4494,f3191]) ).
fof(f14380,plain,
( e21 != h4(e11)
| ~ spl144_424
| spl144_548 ),
inference(forward_demodulation,[],[f13840,f4496]) ).
fof(f13840,plain,
( e21 != h4(op1(e10,e10))
| spl144_548 ),
inference(avatar_component_clause,[],[f13838]) ).
fof(f14379,plain,
( ~ spl144_548
| ~ spl144_66
| ~ spl144_108
| ~ spl144_164
| spl144_461 ),
inference(avatar_split_clause,[],[f13734,f12058,f2230,f1955,f1764,f13838]) ).
fof(f14374,plain,
( ~ spl144_168
| ~ spl144_66
| ~ spl144_352
| ~ spl144_384
| ~ spl144_404
| spl144_462 ),
inference(avatar_split_clause,[],[f14325,f12062,f3662,f3407,f3191,f1764,f2251]) ).
fof(f14325,plain,
( e22 != h4(e12)
| ~ spl144_66
| ~ spl144_352
| ~ spl144_384
| ~ spl144_404
| spl144_462 ),
inference(forward_demodulation,[],[f14218,f3409]) ).
fof(f14218,plain,
( e22 != h4(op1(e10,e11))
| ~ spl144_66
| ~ spl144_352
| ~ spl144_404
| spl144_462 ),
inference(forward_demodulation,[],[f12170,f3664]) ).
fof(f12170,plain,
( op2(e20,e21) != h4(op1(e10,e11))
| ~ spl144_66
| ~ spl144_352
| spl144_462 ),
inference(forward_demodulation,[],[f12169,f1765]) ).
fof(f12169,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e21)
| ~ spl144_352
| spl144_462 ),
inference(forward_demodulation,[],[f12064,f3193]) ).
fof(f12064,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| spl144_462 ),
inference(avatar_component_clause,[],[f12062]) ).
fof(f14368,plain,
( ~ spl144_168
| ~ spl144_427
| spl144_535 ),
inference(avatar_split_clause,[],[f13910,f12848,f4509,f2251]) ).
fof(f13910,plain,
( e22 != h4(e12)
| ~ spl144_427
| spl144_535 ),
inference(superposition,[],[f12850,f4511]) ).
fof(f12850,plain,
( e22 != h4(op1(e11,e10))
| spl144_535 ),
inference(avatar_component_clause,[],[f12848]) ).
fof(f14364,plain,
( ~ spl144_395
| ~ spl144_201
| ~ spl144_352
| spl144_466 ),
inference(avatar_split_clause,[],[f14328,f12078,f3191,f2408,f3500]) ).
fof(f14328,plain,
( e21 != op2(e21,e21)
| ~ spl144_201
| ~ spl144_352
| spl144_466 ),
inference(forward_demodulation,[],[f14327,f3193]) ).
fof(f14327,plain,
( op2(e21,e21) != h4(e11)
| ~ spl144_201
| ~ spl144_352
| spl144_466 ),
inference(forward_demodulation,[],[f12155,f2410]) ).
fof(f12155,plain,
( op2(e21,e21) != h4(op1(e11,e11))
| ~ spl144_352
| spl144_466 ),
inference(forward_demodulation,[],[f12080,f3193]) ).
fof(f14362,plain,
( spl144_528
| ~ spl144_424
| ~ spl144_549 ),
inference(avatar_split_clause,[],[f14317,f13844,f4494,f12768]) ).
fof(f12768,plain,
( spl144_528
<=> e21 = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_528])]) ).
fof(f13844,plain,
( spl144_549
<=> e21 = h3(op1(e10,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_549])]) ).
fof(f14317,plain,
( e21 = h3(e11)
| ~ spl144_424
| ~ spl144_549 ),
inference(forward_demodulation,[],[f13846,f4496]) ).
fof(f13846,plain,
( e21 = h3(op1(e10,e10))
| ~ spl144_549 ),
inference(avatar_component_clause,[],[f13844]) ).
fof(f14358,plain,
( spl144_4
| ~ spl144_85
| ~ spl144_201
| ~ spl144_352
| ~ spl144_480 ),
inference(avatar_split_clause,[],[f14330,f12213,f3191,f2408,f1850,f1457]) ).
fof(f14330,plain,
( e21 = e22
| ~ spl144_85
| ~ spl144_201
| ~ spl144_352
| ~ spl144_480 ),
inference(forward_demodulation,[],[f14329,f3193]) ).
fof(f14329,plain,
( e22 = h4(e11)
| ~ spl144_85
| ~ spl144_201
| ~ spl144_480 ),
inference(forward_demodulation,[],[f14208,f2410]) ).
fof(f14355,plain,
( spl144_4
| ~ spl144_352
| ~ spl144_424
| ~ spl144_547 ),
inference(avatar_split_clause,[],[f14315,f13655,f4494,f3191,f1457]) ).
fof(f14315,plain,
( e21 = e22
| ~ spl144_352
| ~ spl144_424
| ~ spl144_547 ),
inference(forward_demodulation,[],[f14314,f3193]) ).
fof(f14314,plain,
( e22 = h4(e11)
| ~ spl144_424
| ~ spl144_547 ),
inference(forward_demodulation,[],[f13657,f4496]) ).
fof(f14347,plain,
( spl144_4
| ~ spl144_30
| ~ spl144_96
| ~ spl144_349
| ~ spl144_371
| ~ spl144_393
| ~ spl144_422
| ~ spl144_506 ),
inference(avatar_split_clause,[],[f14156,f12420,f4467,f3479,f3313,f3174,f1901,f1587,f1457]) ).
fof(f3313,plain,
( spl144_371
<=> e13 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_371])]) ).
fof(f14156,plain,
( e21 = e22
| ~ spl144_30
| ~ spl144_96
| ~ spl144_349
| ~ spl144_371
| ~ spl144_393
| ~ spl144_422
| ~ spl144_506 ),
inference(forward_demodulation,[],[f14155,f3481]) ).
fof(f14155,plain,
( e22 = op2(e22,e23)
| ~ spl144_30
| ~ spl144_96
| ~ spl144_349
| ~ spl144_371
| ~ spl144_422
| ~ spl144_506 ),
inference(forward_demodulation,[],[f14154,f1589]) ).
fof(f14154,plain,
( op2(e22,e23) = h3(e13)
| ~ spl144_96
| ~ spl144_349
| ~ spl144_371
| ~ spl144_422
| ~ spl144_506 ),
inference(forward_demodulation,[],[f14153,f3315]) ).
fof(f3315,plain,
( e13 = op1(e11,e13)
| ~ spl144_371 ),
inference(avatar_component_clause,[],[f3313]) ).
fof(f14153,plain,
( op2(e22,e23) = h3(op1(e11,e13))
| ~ spl144_96
| ~ spl144_349
| ~ spl144_422
| ~ spl144_506 ),
inference(forward_demodulation,[],[f12421,f11749]) ).
fof(f12421,plain,
( h3(op1(e11,e13)) = op2(h3(e11),e23)
| ~ spl144_506 ),
inference(avatar_component_clause,[],[f12420]) ).
fof(f14338,plain,
( spl144_4
| ~ spl144_85
| ~ spl144_352
| ~ spl144_424
| ~ spl144_489 ),
inference(avatar_split_clause,[],[f14312,f12308,f4494,f3191,f1850,f1457]) ).
fof(f14312,plain,
( e21 = e22
| ~ spl144_85
| ~ spl144_352
| ~ spl144_424
| ~ spl144_489 ),
inference(forward_demodulation,[],[f14311,f3193]) ).
fof(f14311,plain,
( e22 = h4(e11)
| ~ spl144_85
| ~ spl144_424
| ~ spl144_489 ),
inference(forward_demodulation,[],[f13576,f4496]) ).
fof(f13576,plain,
( e22 = h4(op1(e10,e10))
| ~ spl144_85
| ~ spl144_489 ),
inference(forward_demodulation,[],[f12309,f1852]) ).
fof(f14299,plain,
( spl144_104
| ~ spl144_102
| ~ spl144_165
| ~ spl144_168
| ~ spl144_471
| ~ spl144_517 ),
inference(avatar_split_clause,[],[f14238,f12596,f12098,f2251,f2235,f1928,f1937]) ).
fof(f1937,plain,
( spl144_104
<=> e21 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_104])]) ).
fof(f1928,plain,
( spl144_102
<=> e21 = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_102])]) ).
fof(f12098,plain,
( spl144_471
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_471])]) ).
fof(f12596,plain,
( spl144_517
<=> e22 = h4(op1(e12,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_517])]) ).
fof(f14238,plain,
( e21 = h3(e12)
| ~ spl144_102
| ~ spl144_165
| ~ spl144_168
| ~ spl144_471
| ~ spl144_517 ),
inference(forward_demodulation,[],[f12561,f14232]) ).
fof(f14232,plain,
( e21 = h4(op1(e12,e12))
| ~ spl144_102
| ~ spl144_168
| ~ spl144_517 ),
inference(forward_demodulation,[],[f12598,f13686]) ).
fof(f13686,plain,
( e21 = e22
| ~ spl144_102
| ~ spl144_168 ),
inference(superposition,[],[f1930,f2253]) ).
fof(f1930,plain,
( e21 = h4(e12)
| ~ spl144_102 ),
inference(avatar_component_clause,[],[f1928]) ).
fof(f12598,plain,
( e22 = h4(op1(e12,e12))
| ~ spl144_517 ),
inference(avatar_component_clause,[],[f12596]) ).
fof(f12561,plain,
( h3(e12) = h4(op1(e12,e12))
| ~ spl144_165
| ~ spl144_168
| ~ spl144_471 ),
inference(forward_demodulation,[],[f12192,f2237]) ).
fof(f12192,plain,
( op2(e22,e22) = h4(op1(e12,e12))
| ~ spl144_168
| ~ spl144_471 ),
inference(forward_demodulation,[],[f12099,f2253]) ).
fof(f12099,plain,
( h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
| ~ spl144_471 ),
inference(avatar_component_clause,[],[f12098]) ).
fof(f14271,plain,
( spl144_5
| ~ spl144_531
| ~ spl144_545 ),
inference(avatar_split_clause,[],[f14231,f13359,f12812,f1462]) ).
fof(f14231,plain,
( e21 = e23
| ~ spl144_531
| ~ spl144_545 ),
inference(forward_demodulation,[],[f13361,f12814]) ).
fof(f12814,plain,
( e21 = h4(op1(e12,e10))
| ~ spl144_531 ),
inference(avatar_component_clause,[],[f12812]) ).
fof(f14195,plain,
( spl144_307
| ~ spl144_193
| ~ spl144_551 ),
inference(avatar_split_clause,[],[f14194,f14190,f2370,f2953]) ).
fof(f2953,plain,
( spl144_307
<=> e10 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_307])]) ).
fof(f2370,plain,
( spl144_193
<=> e12 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_193])]) ).
fof(f14190,plain,
( spl144_551
<=> e10 = op1(e12,op1(e12,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_551])]) ).
fof(f14194,plain,
( e10 = op1(e12,e12)
| ~ spl144_193
| ~ spl144_551 ),
inference(forward_demodulation,[],[f14192,f2372]) ).
fof(f2372,plain,
( e12 = op1(e12,e10)
| ~ spl144_193 ),
inference(avatar_component_clause,[],[f2370]) ).
fof(f14192,plain,
( e10 = op1(e12,op1(e12,e10))
| ~ spl144_551 ),
inference(avatar_component_clause,[],[f14190]) ).
fof(f14193,plain,
( spl144_551
| spl144_25
| spl144_26
| ~ spl144_88
| ~ spl144_193
| ~ spl144_377
| ~ spl144_382 ),
inference(avatar_split_clause,[],[f14105,f3391,f3351,f2370,f1865,f1567,f1562,f14190]) ).
fof(f14105,plain,
( e11 = e12
| e10 = e13
| e10 = op1(e12,op1(e12,e10))
| ~ spl144_88
| ~ spl144_193
| ~ spl144_377
| ~ spl144_382 ),
inference(duplicate_literal_removal,[],[f14104]) ).
fof(f14104,plain,
( e11 = e12
| e10 = e13
| e11 = e12
| e10 = op1(e12,op1(e12,e10))
| ~ spl144_88
| ~ spl144_193
| ~ spl144_377
| ~ spl144_382 ),
inference(forward_demodulation,[],[f14103,f3393]) ).
fof(f14103,plain,
( e12 = op1(e12,e13)
| e10 = e13
| e11 = e12
| e10 = op1(e12,op1(e12,e10))
| ~ spl144_88
| ~ spl144_193
| ~ spl144_377
| ~ spl144_382 ),
inference(forward_demodulation,[],[f13605,f3353]) ).
fof(f13605,plain,
( e10 = e13
| e11 = e12
| e12 = op1(e12,op1(e12,e12))
| e10 = op1(e12,op1(e12,e10))
| ~ spl144_88
| ~ spl144_193
| ~ spl144_382 ),
inference(forward_demodulation,[],[f13604,f1867]) ).
fof(f13604,plain,
( e13 = op1(e12,e11)
| e11 = e12
| e12 = op1(e12,op1(e12,e12))
| e10 = op1(e12,op1(e12,e10))
| ~ spl144_193
| ~ spl144_382 ),
inference(forward_demodulation,[],[f4546,f3393]) ).
fof(f4546,plain,
( e11 = e12
| e13 = op1(e12,op1(e12,e13))
| e12 = op1(e12,op1(e12,e12))
| e10 = op1(e12,op1(e12,e10))
| ~ spl144_193 ),
inference(forward_demodulation,[],[f1439,f2372]) ).
fof(f1439,plain,
( e11 = op1(e12,e10)
| e13 = op1(e12,op1(e12,e13))
| e12 = op1(e12,op1(e12,e12))
| e10 = op1(e12,op1(e12,e10)) ),
inference(forward_demodulation,[],[f1164,f1227]) ).
fof(f1164,plain,
( e13 = op1(e12,op1(e12,e13))
| e12 = op1(e12,op1(e12,e12))
| e11 = op1(e12,op1(e12,e11))
| e10 = op1(e12,op1(e12,e10)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f14185,plain,
( ~ spl144_209
| ~ spl144_428
| spl144_453 ),
inference(avatar_split_clause,[],[f14003,f11823,f4516,f2446]) ).
fof(f14003,plain,
( e10 != op1(e10,e13)
| ~ spl144_428
| spl144_453 ),
inference(forward_demodulation,[],[f11824,f4518]) ).
fof(f11824,plain,
( e10 != op1(e10,op1(e10,e10))
| spl144_453 ),
inference(avatar_component_clause,[],[f11823]) ).
fof(f14161,plain,
( ~ spl144_102
| ~ spl144_379
| spl144_542 ),
inference(avatar_split_clause,[],[f14135,f13299,f3371,f1928]) ).
fof(f14135,plain,
( e21 != h4(e12)
| ~ spl144_379
| spl144_542 ),
inference(forward_demodulation,[],[f13301,f3373]) ).
fof(f13301,plain,
( e21 != h4(op1(e10,e12))
| spl144_542 ),
inference(avatar_component_clause,[],[f13299]) ).
fof(f14151,plain,
( spl144_522
| ~ spl144_96
| ~ spl144_102
| ~ spl144_165
| ~ spl144_168
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_428
| ~ spl144_499 ),
inference(avatar_split_clause,[],[f14121,f12392,f4516,f4467,f3236,f3174,f2251,f2235,f1928,f1901,f12732]) ).
fof(f12732,plain,
( spl144_522
<=> e21 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_522])]) ).
fof(f14121,plain,
( e21 = h3(e13)
| ~ spl144_96
| ~ spl144_102
| ~ spl144_165
| ~ spl144_168
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_428
| ~ spl144_499 ),
inference(forward_demodulation,[],[f13737,f4518]) ).
fof(f13737,plain,
( e21 = h3(op1(e10,e10))
| ~ spl144_96
| ~ spl144_102
| ~ spl144_165
| ~ spl144_168
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_499 ),
inference(forward_demodulation,[],[f13736,f13686]) ).
fof(f13736,plain,
( e22 = h3(op1(e10,e10))
| ~ spl144_96
| ~ spl144_165
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_499 ),
inference(forward_demodulation,[],[f13735,f1902]) ).
fof(f13735,plain,
( h3(e12) = h3(op1(e10,e10))
| ~ spl144_96
| ~ spl144_165
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_499 ),
inference(forward_demodulation,[],[f13622,f2237]) ).
fof(f13622,plain,
( op2(e22,e22) = h3(op1(e10,e10))
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_499 ),
inference(forward_demodulation,[],[f12393,f11751]) ).
fof(f12393,plain,
( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
| ~ spl144_499 ),
inference(avatar_component_clause,[],[f12392]) ).
fof(f14134,plain,
( spl144_550
| ~ spl144_193
| ~ spl144_379
| ~ spl144_428
| ~ spl144_531
| ~ spl144_544
| ~ spl144_549 ),
inference(avatar_split_clause,[],[f14117,f13844,f13310,f12812,f4516,f3371,f2370,f14131]) ).
fof(f14131,plain,
( spl144_550
<=> e20 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_550])]) ).
fof(f13310,plain,
( spl144_544
<=> e20 = h4(op1(e10,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_544])]) ).
fof(f14117,plain,
( e20 = h3(e13)
| ~ spl144_193
| ~ spl144_379
| ~ spl144_428
| ~ spl144_531
| ~ spl144_544
| ~ spl144_549 ),
inference(forward_demodulation,[],[f14116,f14107]) ).
fof(f14107,plain,
( e20 = e21
| ~ spl144_193
| ~ spl144_379
| ~ spl144_531
| ~ spl144_544 ),
inference(forward_demodulation,[],[f13672,f13706]) ).
fof(f13706,plain,
( e20 = h4(e12)
| ~ spl144_379
| ~ spl144_544 ),
inference(superposition,[],[f13312,f3373]) ).
fof(f13312,plain,
( e20 = h4(op1(e10,e12))
| ~ spl144_544 ),
inference(avatar_component_clause,[],[f13310]) ).
fof(f13672,plain,
( e21 = h4(e12)
| ~ spl144_193
| ~ spl144_531 ),
inference(superposition,[],[f12814,f2372]) ).
fof(f14116,plain,
( e21 = h3(e13)
| ~ spl144_428
| ~ spl144_549 ),
inference(forward_demodulation,[],[f13846,f4518]) ).
fof(f14115,plain,
( ~ spl144_422
| ~ spl144_30
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_428
| spl144_499 ),
inference(avatar_split_clause,[],[f14077,f12392,f4516,f4467,f3236,f3174,f1901,f1587,f4467]) ).
fof(f14077,plain,
( e22 != op2(e22,e22)
| ~ spl144_30
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_428
| spl144_499 ),
inference(forward_demodulation,[],[f14076,f1589]) ).
fof(f14076,plain,
( op2(e22,e22) != h3(e13)
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_428
| spl144_499 ),
inference(forward_demodulation,[],[f13614,f4518]) ).
fof(f13614,plain,
( op2(e22,e22) != h3(op1(e10,e10))
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| spl144_499 ),
inference(forward_demodulation,[],[f12394,f11751]) ).
fof(f12394,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| spl144_499 ),
inference(avatar_component_clause,[],[f12392]) ).
fof(f14062,plain,
( spl144_269
| ~ spl144_205
| ~ spl144_427
| ~ spl144_431 ),
inference(avatar_split_clause,[],[f14001,f5076,f4509,f2427,f2754]) ).
fof(f14001,plain,
( e10 = op1(e11,e11)
| ~ spl144_205
| ~ spl144_427
| ~ spl144_431 ),
inference(forward_demodulation,[],[f5078,f13995]) ).
fof(f13995,plain,
( e11 = e12
| ~ spl144_205
| ~ spl144_427 ),
inference(superposition,[],[f4511,f2429]) ).
fof(f14056,plain,
( spl144_449
| ~ spl144_180
| ~ spl144_448 ),
inference(avatar_split_clause,[],[f13981,f11794,f2308,f11801]) ).
fof(f11794,plain,
( spl144_448
<=> e11 = op1(e13,op1(e13,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_448])]) ).
fof(f13981,plain,
( e11 = op1(e13,e13)
| ~ spl144_180
| ~ spl144_448 ),
inference(forward_demodulation,[],[f11796,f2310]) ).
fof(f11796,plain,
( e11 = op1(e13,op1(e13,e11))
| ~ spl144_448 ),
inference(avatar_component_clause,[],[f11794]) ).
fof(f14037,plain,
( spl144_357
| ~ spl144_32
| ~ spl144_66
| ~ spl144_209
| ~ spl144_478 ),
inference(avatar_split_clause,[],[f14016,f12205,f2446,f1764,f1597,f3221]) ).
fof(f14016,plain,
( e20 = op2(e20,e23)
| ~ spl144_32
| ~ spl144_66
| ~ spl144_209
| ~ spl144_478 ),
inference(forward_demodulation,[],[f14015,f1765]) ).
fof(f14015,plain,
( op2(e20,e23) = h4(e10)
| ~ spl144_32
| ~ spl144_66
| ~ spl144_209
| ~ spl144_478 ),
inference(forward_demodulation,[],[f13410,f2448]) ).
fof(f13410,plain,
( op2(e20,e23) = h4(op1(e10,e13))
| ~ spl144_32
| ~ spl144_66
| ~ spl144_478 ),
inference(forward_demodulation,[],[f13409,f1765]) ).
fof(f13409,plain,
( h4(op1(e10,e13)) = op2(h4(e10),e23)
| ~ spl144_32
| ~ spl144_478 ),
inference(forward_demodulation,[],[f12206,f1599]) ).
fof(f12206,plain,
( h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
| ~ spl144_478 ),
inference(avatar_component_clause,[],[f12205]) ).
fof(f14014,plain,
( spl144_3
| ~ spl144_66
| ~ spl144_209
| ~ spl144_539 ),
inference(avatar_split_clause,[],[f14012,f13044,f2446,f1764,f1452]) ).
fof(f14012,plain,
( e20 = e23
| ~ spl144_66
| ~ spl144_209
| ~ spl144_539 ),
inference(forward_demodulation,[],[f14011,f1765]) ).
fof(f14011,plain,
( e23 = h4(e10)
| ~ spl144_209
| ~ spl144_539 ),
inference(superposition,[],[f13045,f2448]) ).
fof(f14000,plain,
( spl144_269
| ~ spl144_86
| ~ spl144_431
| ~ spl144_449 ),
inference(avatar_split_clause,[],[f13992,f11801,f5076,f1855,f2754]) ).
fof(f13992,plain,
( e10 = op1(e11,e11)
| ~ spl144_86
| ~ spl144_431
| ~ spl144_449 ),
inference(forward_demodulation,[],[f5078,f13982]) ).
fof(f13985,plain,
( spl144_431
| spl144_436
| spl144_24
| ~ spl144_385
| ~ spl144_427 ),
inference(avatar_split_clause,[],[f11856,f4509,f3411,f1557,f5298,f5076]) ).
fof(f11856,plain,
( e10 = e12
| e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| ~ spl144_385
| ~ spl144_427 ),
inference(duplicate_literal_removal,[],[f5260]) ).
fof(f5260,plain,
( e10 = e12
| e10 = e12
| e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| ~ spl144_385
| ~ spl144_427 ),
inference(forward_demodulation,[],[f5259,f4511]) ).
fof(f5259,plain,
( e10 = e12
| e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e10)
| ~ spl144_385 ),
inference(forward_demodulation,[],[f578,f3413]) ).
fof(f13980,plain,
( spl144_449
| spl144_27
| spl144_23
| ~ spl144_371
| ~ spl144_372
| ~ spl144_428
| ~ spl144_453 ),
inference(avatar_split_clause,[],[f13773,f11823,f4516,f3317,f3313,f1552,f1572,f11801]) ).
fof(f13773,plain,
( e10 = e11
| e11 = e13
| e11 = op1(e13,e13)
| ~ spl144_371
| ~ spl144_372
| ~ spl144_428
| ~ spl144_453 ),
inference(forward_demodulation,[],[f13772,f11998]) ).
fof(f11998,plain,
( e10 = op1(e10,e13)
| ~ spl144_428
| ~ spl144_453 ),
inference(superposition,[],[f11825,f4518]) ).
fof(f13772,plain,
( e11 = e13
| e11 = op1(e13,e13)
| e11 = op1(e10,e13)
| ~ spl144_371
| ~ spl144_372 ),
inference(duplicate_literal_removal,[],[f13771]) ).
fof(f13771,plain,
( e11 = e13
| e11 = e13
| e11 = op1(e13,e13)
| e11 = op1(e10,e13)
| ~ spl144_371
| ~ spl144_372 ),
inference(forward_demodulation,[],[f13554,f3315]) ).
fof(f13978,plain,
( ~ spl144_526
| ~ spl144_85
| ~ spl144_428
| spl144_489 ),
inference(avatar_split_clause,[],[f13855,f12308,f4516,f1850,f12756]) ).
fof(f13855,plain,
( e22 != h4(e13)
| ~ spl144_85
| ~ spl144_428
| spl144_489 ),
inference(forward_demodulation,[],[f13730,f4518]) ).
fof(f13952,plain,
( spl144_6
| ~ spl144_32
| ~ spl144_85
| ~ spl144_371
| ~ spl144_482 ),
inference(avatar_split_clause,[],[f13951,f12221,f3313,f1850,f1597,f1467]) ).
fof(f13951,plain,
( e22 = e23
| ~ spl144_32
| ~ spl144_85
| ~ spl144_371
| ~ spl144_482 ),
inference(forward_demodulation,[],[f13950,f1852]) ).
fof(f13950,plain,
( e23 = op2(e23,e23)
| ~ spl144_32
| ~ spl144_371
| ~ spl144_482 ),
inference(forward_demodulation,[],[f13949,f1599]) ).
fof(f13949,plain,
( op2(e23,e23) = h4(e13)
| ~ spl144_32
| ~ spl144_371
| ~ spl144_482 ),
inference(forward_demodulation,[],[f13948,f3315]) ).
fof(f13948,plain,
( op2(e23,e23) = h4(op1(e11,e13))
| ~ spl144_32
| ~ spl144_482 ),
inference(forward_demodulation,[],[f12222,f1599]) ).
fof(f12222,plain,
( h4(op1(e11,e13)) = op2(e23,h4(e13))
| ~ spl144_482 ),
inference(avatar_component_clause,[],[f12221]) ).
fof(f13946,plain,
( spl144_526
| ~ spl144_377
| ~ spl144_517 ),
inference(avatar_split_clause,[],[f13697,f12596,f3351,f12756]) ).
fof(f13697,plain,
( e22 = h4(e13)
| ~ spl144_377
| ~ spl144_517 ),
inference(superposition,[],[f12598,f3353]) ).
fof(f13944,plain,
( ~ spl144_428
| ~ spl144_209
| spl144_456 ),
inference(avatar_split_clause,[],[f13277,f11835,f2446,f4516]) ).
fof(f13914,plain,
( spl144_436
| spl144_25
| spl144_24
| ~ spl144_376
| ~ spl144_385
| ~ spl144_427 ),
inference(avatar_split_clause,[],[f13765,f4509,f3411,f3347,f1557,f1562,f5298]) ).
fof(f13765,plain,
( e10 = e12
| e10 = e13
| e10 = op1(e11,e13)
| ~ spl144_376
| ~ spl144_385
| ~ spl144_427 ),
inference(duplicate_literal_removal,[],[f13764]) ).
fof(f13764,plain,
( e10 = e12
| e10 = e13
| e10 = e12
| e10 = op1(e11,e13)
| ~ spl144_376
| ~ spl144_385
| ~ spl144_427 ),
inference(forward_demodulation,[],[f13163,f4511]) ).
fof(f13163,plain,
( e10 = e13
| e10 = e12
| e10 = op1(e11,e13)
| e10 = op1(e11,e10)
| ~ spl144_376
| ~ spl144_385 ),
inference(forward_demodulation,[],[f12571,f3349]) ).
fof(f12571,plain,
( e10 = e12
| e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e10)
| ~ spl144_385 ),
inference(forward_demodulation,[],[f578,f3413]) ).
fof(f13903,plain,
( spl144_76
| ~ spl144_106
| ~ spl144_350
| ~ spl144_361
| ~ spl144_395 ),
inference(avatar_split_clause,[],[f11551,f3500,f3241,f3179,f1946,f1809]) ).
fof(f3179,plain,
( spl144_350
<=> h2(e11) = op2(e21,h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_350])]) ).
fof(f11551,plain,
( e21 = h2(e10)
| ~ spl144_106
| ~ spl144_350
| ~ spl144_361
| ~ spl144_395 ),
inference(forward_demodulation,[],[f11550,f3501]) ).
fof(f3501,plain,
( e21 = op2(e21,e21)
| ~ spl144_395 ),
inference(avatar_component_clause,[],[f3500]) ).
fof(f11550,plain,
( op2(e21,e21) = h2(e10)
| ~ spl144_106
| ~ spl144_350
| ~ spl144_361
| ~ spl144_395 ),
inference(forward_demodulation,[],[f9045,f11549]) ).
fof(f11549,plain,
( e21 = h2(e11)
| ~ spl144_106
| ~ spl144_350
| ~ spl144_395 ),
inference(forward_demodulation,[],[f9046,f3501]) ).
fof(f9046,plain,
( op2(e21,e21) = h2(e11)
| ~ spl144_106
| ~ spl144_350 ),
inference(superposition,[],[f3181,f1947]) ).
fof(f3181,plain,
( h2(e11) = op2(e21,h2(e12))
| ~ spl144_350 ),
inference(avatar_component_clause,[],[f3179]) ).
fof(f9045,plain,
( h2(e10) = op2(e21,h2(e11))
| ~ spl144_106
| ~ spl144_361 ),
inference(superposition,[],[f3243,f1947]) ).
fof(f13857,plain,
( ~ spl144_534
| ~ spl144_66
| ~ spl144_446
| spl144_479 ),
inference(avatar_split_clause,[],[f13743,f12209,f8434,f1764,f12843]) ).
fof(f12843,plain,
( spl144_534
<=> e20 = h4(op1(e11,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_534])]) ).
fof(f13743,plain,
( e20 != h4(op1(e11,e10))
| ~ spl144_66
| ~ spl144_446
| spl144_479 ),
inference(forward_demodulation,[],[f13650,f8436]) ).
fof(f13847,plain,
( spl144_549
| ~ spl144_96
| ~ spl144_102
| ~ spl144_165
| ~ spl144_168
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_499 ),
inference(avatar_split_clause,[],[f13737,f12392,f4467,f3236,f3174,f2251,f2235,f1928,f1901,f13844]) ).
fof(f13841,plain,
( ~ spl144_548
| ~ spl144_85
| ~ spl144_102
| ~ spl144_168
| spl144_489 ),
inference(avatar_split_clause,[],[f13731,f12308,f2251,f1928,f1850,f13838]) ).
fof(f13731,plain,
( e21 != h4(op1(e10,e10))
| ~ spl144_85
| ~ spl144_102
| ~ spl144_168
| spl144_489 ),
inference(forward_demodulation,[],[f13730,f13686]) ).
fof(f13718,plain,
( spl144_381
| spl144_23
| spl144_27
| ~ spl144_222
| ~ spl144_373
| ~ spl144_429 ),
inference(avatar_split_clause,[],[f13344,f4520,f3327,f2508,f1572,f1552,f3387]) ).
fof(f13344,plain,
( e11 = e13
| e10 = e11
| e11 = op1(e12,e10)
| ~ spl144_222
| ~ spl144_373
| ~ spl144_429 ),
inference(forward_demodulation,[],[f6877,f4522]) ).
fof(f6877,plain,
( e10 = e11
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| ~ spl144_222
| ~ spl144_373 ),
inference(duplicate_literal_removal,[],[f5770]) ).
fof(f5770,plain,
( e10 = e11
| e10 = e11
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| ~ spl144_222
| ~ spl144_373 ),
inference(forward_demodulation,[],[f4647,f2510]) ).
fof(f2510,plain,
( e10 = op1(e10,e10)
| ~ spl144_222 ),
inference(avatar_component_clause,[],[f2508]) ).
fof(f4647,plain,
( e10 = e11
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11
| ~ spl144_373 ),
inference(forward_demodulation,[],[f573,f3329]) ).
fof(f13685,plain,
( spl144_102
| ~ spl144_193
| ~ spl144_531 ),
inference(avatar_split_clause,[],[f13672,f12812,f2370,f1928]) ).
fof(f13661,plain,
( spl144_2
| ~ spl144_66
| ~ spl144_222
| ~ spl144_547 ),
inference(avatar_split_clause,[],[f13660,f13655,f2508,f1764,f1447]) ).
fof(f13660,plain,
( e20 = e22
| ~ spl144_66
| ~ spl144_222
| ~ spl144_547 ),
inference(forward_demodulation,[],[f13659,f1765]) ).
fof(f13659,plain,
( e22 = h4(e10)
| ~ spl144_222
| ~ spl144_547 ),
inference(forward_demodulation,[],[f13657,f2510]) ).
fof(f13658,plain,
( spl144_547
| ~ spl144_85
| ~ spl144_489 ),
inference(avatar_split_clause,[],[f13576,f12308,f1850,f13655]) ).
fof(f13641,plain,
( spl144_3
| ~ spl144_32
| ~ spl144_66
| ~ spl144_429
| ~ spl144_446
| ~ spl144_479 ),
inference(avatar_split_clause,[],[f13628,f12209,f8434,f4520,f1764,f1597,f1452]) ).
fof(f13628,plain,
( e20 = e23
| ~ spl144_32
| ~ spl144_66
| ~ spl144_429
| ~ spl144_446
| ~ spl144_479 ),
inference(forward_demodulation,[],[f13627,f8436]) ).
fof(f13627,plain,
( e23 = op2(e23,e20)
| ~ spl144_32
| ~ spl144_66
| ~ spl144_429
| ~ spl144_479 ),
inference(forward_demodulation,[],[f13626,f1599]) ).
fof(f13626,plain,
( op2(e23,e20) = h4(e13)
| ~ spl144_66
| ~ spl144_429
| ~ spl144_479 ),
inference(forward_demodulation,[],[f12995,f4522]) ).
fof(f12995,plain,
( op2(e23,e20) = h4(op1(e11,e10))
| ~ spl144_66
| ~ spl144_479 ),
inference(forward_demodulation,[],[f12210,f1765]) ).
fof(f12210,plain,
( h4(op1(e11,e10)) = op2(e23,h4(e10))
| ~ spl144_479 ),
inference(avatar_component_clause,[],[f12209]) ).
fof(f13625,plain,
( spl144_524
| ~ spl144_429
| ~ spl144_534 ),
inference(avatar_split_clause,[],[f13540,f12843,f4520,f12744]) ).
fof(f12744,plain,
( spl144_524
<=> e20 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_524])]) ).
fof(f13540,plain,
( e20 = h4(e13)
| ~ spl144_429
| ~ spl144_534 ),
inference(superposition,[],[f12844,f4522]) ).
fof(f12844,plain,
( e20 = h4(op1(e11,e10))
| ~ spl144_534 ),
inference(avatar_component_clause,[],[f12843]) ).
fof(f13617,plain,
( ~ spl144_422
| ~ spl144_96
| ~ spl144_222
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| spl144_499 ),
inference(avatar_split_clause,[],[f13613,f12392,f4467,f3236,f3174,f2508,f1901,f4467]) ).
fof(f13613,plain,
( e22 != op2(e22,e22)
| ~ spl144_96
| ~ spl144_222
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| spl144_499 ),
inference(forward_demodulation,[],[f13612,f11751]) ).
fof(f13612,plain,
( op2(e22,e22) != h3(e10)
| ~ spl144_96
| ~ spl144_222
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| spl144_499 ),
inference(forward_demodulation,[],[f12511,f2510]) ).
fof(f12511,plain,
( op2(e22,e22) != h3(op1(e10,e10))
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| spl144_499 ),
inference(forward_demodulation,[],[f12394,f11751]) ).
fof(f13610,plain,
( spl144_546
| ~ spl144_96
| ~ spl144_165
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_499 ),
inference(avatar_split_clause,[],[f13575,f12392,f4467,f3236,f3174,f2235,f1901,f13607]) ).
fof(f13575,plain,
( e22 = h3(op1(e10,e10))
| ~ spl144_96
| ~ spl144_165
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_499 ),
inference(forward_demodulation,[],[f13574,f1902]) ).
fof(f13574,plain,
( h3(e12) = h3(op1(e10,e10))
| ~ spl144_96
| ~ spl144_165
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_499 ),
inference(forward_demodulation,[],[f12522,f2237]) ).
fof(f12522,plain,
( op2(e22,e22) = h3(op1(e10,e10))
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_499 ),
inference(forward_demodulation,[],[f12393,f11751]) ).
fof(f13558,plain,
( spl144_436
| spl144_24
| spl144_25
| ~ spl144_376
| ~ spl144_385
| ~ spl144_429 ),
inference(avatar_split_clause,[],[f13334,f4520,f3411,f3347,f1562,f1557,f5298]) ).
fof(f13334,plain,
( e10 = e13
| e10 = e12
| e10 = op1(e11,e13)
| ~ spl144_376
| ~ spl144_385
| ~ spl144_429 ),
inference(duplicate_literal_removal,[],[f13333]) ).
fof(f13333,plain,
( e10 = e13
| e10 = e13
| e10 = e12
| e10 = op1(e11,e13)
| ~ spl144_376
| ~ spl144_385
| ~ spl144_429 ),
inference(forward_demodulation,[],[f12570,f3349]) ).
fof(f12570,plain,
( e10 = e13
| e10 = e12
| e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| ~ spl144_385
| ~ spl144_429 ),
inference(forward_demodulation,[],[f5259,f4522]) ).
fof(f13553,plain,
( spl144_374
| spl144_25
| ~ spl144_370
| ~ spl144_371
| ~ spl144_372 ),
inference(avatar_split_clause,[],[f13449,f3317,f3313,f3309,f1562,f3331]) ).
fof(f3331,plain,
( spl144_374
<=> e10 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_374])]) ).
fof(f13449,plain,
( e10 = e13
| e10 = op1(e13,e13)
| ~ spl144_370
| ~ spl144_371
| ~ spl144_372 ),
inference(duplicate_literal_removal,[],[f13448]) ).
fof(f13448,plain,
( e10 = e13
| e10 = e13
| e10 = op1(e13,e13)
| ~ spl144_370
| ~ spl144_371
| ~ spl144_372 ),
inference(forward_demodulation,[],[f4719,f3315]) ).
fof(f4719,plain,
( e10 = e13
| e10 = op1(e13,e13)
| e10 = op1(e11,e13)
| ~ spl144_370
| ~ spl144_372 ),
inference(duplicate_literal_removal,[],[f4574]) ).
fof(f4574,plain,
( e10 = e13
| e10 = e13
| e10 = op1(e13,e13)
| e10 = op1(e11,e13)
| ~ spl144_370
| ~ spl144_372 ),
inference(forward_demodulation,[],[f4573,f3311]) ).
fof(f4573,plain,
( e10 = e13
| e10 = op1(e13,e13)
| e10 = op1(e11,e13)
| e10 = op1(e10,e13)
| ~ spl144_372 ),
inference(forward_demodulation,[],[f595,f3319]) ).
fof(f595,plain,
( e10 = op1(e13,e13)
| e10 = op1(e12,e13)
| e10 = op1(e11,e13)
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f13544,plain,
( ~ spl144_532
| ~ spl144_376
| spl144_519 ),
inference(avatar_split_clause,[],[f13154,f12631,f3347,f12827]) ).
fof(f12827,plain,
( spl144_532
<=> e21 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_532])]) ).
fof(f12631,plain,
( spl144_519
<=> e21 = h4(op1(e11,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_519])]) ).
fof(f13154,plain,
( e21 != h4(e13)
| ~ spl144_376
| spl144_519 ),
inference(superposition,[],[f12633,f3349]) ).
fof(f12633,plain,
( e21 != h4(op1(e11,e12))
| spl144_519 ),
inference(avatar_component_clause,[],[f12631]) ).
fof(f13543,plain,
( spl144_213
| ~ spl144_426
| ~ spl144_453 ),
inference(avatar_split_clause,[],[f13118,f11823,f4505,f2465]) ).
fof(f13118,plain,
( e10 = op1(e10,e12)
| ~ spl144_426
| ~ spl144_453 ),
inference(forward_demodulation,[],[f11825,f4507]) ).
fof(f13491,plain,
( spl144_5
| ~ spl144_32
| ~ spl144_168
| ~ spl144_372
| ~ spl144_393
| ~ spl144_484 ),
inference(avatar_split_clause,[],[f13477,f12229,f3479,f3317,f2251,f1597,f1462]) ).
fof(f12229,plain,
( spl144_484
<=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_484])]) ).
fof(f13477,plain,
( e21 = e23
| ~ spl144_32
| ~ spl144_168
| ~ spl144_372
| ~ spl144_393
| ~ spl144_484 ),
inference(forward_demodulation,[],[f13476,f3481]) ).
fof(f13476,plain,
( e23 = op2(e22,e23)
| ~ spl144_32
| ~ spl144_168
| ~ spl144_372
| ~ spl144_484 ),
inference(forward_demodulation,[],[f13475,f1599]) ).
fof(f13475,plain,
( op2(e22,e23) = h4(e13)
| ~ spl144_32
| ~ spl144_168
| ~ spl144_372
| ~ spl144_484 ),
inference(forward_demodulation,[],[f12782,f3319]) ).
fof(f12782,plain,
( op2(e22,e23) = h4(op1(e12,e13))
| ~ spl144_32
| ~ spl144_168
| ~ spl144_484 ),
inference(forward_demodulation,[],[f12781,f2253]) ).
fof(f12781,plain,
( h4(op1(e12,e13)) = op2(h4(e12),e23)
| ~ spl144_32
| ~ spl144_484 ),
inference(forward_demodulation,[],[f12230,f1599]) ).
fof(f12230,plain,
( h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
| ~ spl144_484 ),
inference(avatar_component_clause,[],[f12229]) ).
fof(f13474,plain,
( spl144_5
| ~ spl144_32
| ~ spl144_532 ),
inference(avatar_split_clause,[],[f13461,f12827,f1597,f1462]) ).
fof(f13461,plain,
( e21 = e23
| ~ spl144_32
| ~ spl144_532 ),
inference(superposition,[],[f12828,f1599]) ).
fof(f12828,plain,
( e21 = h4(e13)
| ~ spl144_532 ),
inference(avatar_component_clause,[],[f12827]) ).
fof(f13460,plain,
( spl144_532
| ~ spl144_372
| ~ spl144_529 ),
inference(avatar_split_clause,[],[f13459,f12773,f3317,f12827]) ).
fof(f12773,plain,
( spl144_529
<=> e21 = h4(op1(e12,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_529])]) ).
fof(f13459,plain,
( e21 = h4(e13)
| ~ spl144_372
| ~ spl144_529 ),
inference(forward_demodulation,[],[f12774,f3319]) ).
fof(f12774,plain,
( e21 = h4(op1(e12,e13))
| ~ spl144_529 ),
inference(avatar_component_clause,[],[f12773]) ).
fof(f13458,plain,
( spl144_529
| ~ spl144_168
| ~ spl144_393
| ~ spl144_472 ),
inference(avatar_split_clause,[],[f13401,f12102,f3479,f2251,f12773]) ).
fof(f12102,plain,
( spl144_472
<=> h4(op1(e12,e13)) = op2(h4(e12),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_472])]) ).
fof(f13401,plain,
( e21 = h4(op1(e12,e13))
| ~ spl144_168
| ~ spl144_393
| ~ spl144_472 ),
inference(forward_demodulation,[],[f12786,f3481]) ).
fof(f12786,plain,
( op2(e22,e23) = h4(op1(e12,e13))
| ~ spl144_168
| ~ spl144_472 ),
inference(forward_demodulation,[],[f12103,f2253]) ).
fof(f12103,plain,
( h4(op1(e12,e13)) = op2(h4(e12),e23)
| ~ spl144_472 ),
inference(avatar_component_clause,[],[f12102]) ).
fof(f13456,plain,
( ~ spl144_545
| ~ spl144_66
| ~ spl144_168
| ~ spl144_402
| spl144_469 ),
inference(avatar_split_clause,[],[f13395,f12090,f3649,f2251,f1764,f13359]) ).
fof(f13395,plain,
( e23 != h4(op1(e12,e10))
| ~ spl144_66
| ~ spl144_168
| ~ spl144_402
| spl144_469 ),
inference(forward_demodulation,[],[f13379,f3651]) ).
fof(f13379,plain,
( op2(e22,e20) != h4(op1(e12,e10))
| ~ spl144_66
| ~ spl144_168
| spl144_469 ),
inference(forward_demodulation,[],[f13378,f2253]) ).
fof(f13378,plain,
( h4(op1(e12,e10)) != op2(h4(e12),e20)
| ~ spl144_66
| spl144_469 ),
inference(forward_demodulation,[],[f12092,f1765]) ).
fof(f13389,plain,
( spl144_24
| ~ spl144_222
| ~ spl144_426 ),
inference(avatar_split_clause,[],[f5495,f4505,f2508,f1557]) ).
fof(f5495,plain,
( e10 = e12
| ~ spl144_222
| ~ spl144_426 ),
inference(superposition,[],[f2510,f4507]) ).
fof(f13383,plain,
( spl144_530
| ~ spl144_96
| ~ spl144_165
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_507 ),
inference(avatar_split_clause,[],[f13330,f12424,f4467,f3236,f3174,f2235,f1901,f12790]) ).
fof(f12790,plain,
( spl144_530
<=> e22 = h3(op1(e12,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_530])]) ).
fof(f13330,plain,
( e22 = h3(op1(e12,e10))
| ~ spl144_96
| ~ spl144_165
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_507 ),
inference(forward_demodulation,[],[f13329,f1902]) ).
fof(f13329,plain,
( h3(e12) = h3(op1(e12,e10))
| ~ spl144_96
| ~ spl144_165
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_507 ),
inference(forward_demodulation,[],[f12808,f2237]) ).
fof(f12808,plain,
( op2(e22,e22) = h3(op1(e12,e10))
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_507 ),
inference(forward_demodulation,[],[f12807,f1902]) ).
fof(f12807,plain,
( h3(op1(e12,e10)) = op2(h3(e12),e22)
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_507 ),
inference(forward_demodulation,[],[f12425,f11751]) ).
fof(f12425,plain,
( h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
| ~ spl144_507 ),
inference(avatar_component_clause,[],[f12424]) ).
fof(f13362,plain,
( spl144_545
| ~ spl144_66
| ~ spl144_168
| ~ spl144_402
| ~ spl144_469 ),
inference(avatar_split_clause,[],[f13324,f12090,f3649,f2251,f1764,f13359]) ).
fof(f13324,plain,
( e23 = h4(op1(e12,e10))
| ~ spl144_66
| ~ spl144_168
| ~ spl144_402
| ~ spl144_469 ),
inference(forward_demodulation,[],[f12834,f3651]) ).
fof(f13314,plain,
( spl144_375
| spl144_25
| spl144_27
| spl144_28
| ~ spl144_209
| ~ spl144_386
| ~ spl144_426 ),
inference(avatar_split_clause,[],[f13296,f4505,f3418,f2446,f1577,f1572,f1562,f3343]) ).
fof(f3343,plain,
( spl144_375
<=> e13 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_375])]) ).
fof(f13296,plain,
( e12 = e13
| e11 = e13
| e10 = e13
| e13 = op1(e10,e12)
| ~ spl144_209
| ~ spl144_386
| ~ spl144_426 ),
inference(forward_demodulation,[],[f13295,f4507]) ).
fof(f13295,plain,
( e11 = e13
| e10 = e13
| e13 = op1(e10,e12)
| op1(e10,e10) = e13
| ~ spl144_209
| ~ spl144_386 ),
inference(forward_demodulation,[],[f13294,f3420]) ).
fof(f13294,plain,
( e10 = e13
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13
| ~ spl144_209 ),
inference(forward_demodulation,[],[f576,f2448]) ).
fof(f576,plain,
( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f13313,plain,
( spl144_544
| ~ spl144_66
| ~ spl144_168
| ~ spl144_174
| ~ spl144_463 ),
inference(avatar_split_clause,[],[f13293,f12066,f2281,f2251,f1764,f13310]) ).
fof(f12066,plain,
( spl144_463
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_463])]) ).
fof(f13293,plain,
( e20 = h4(op1(e10,e12))
| ~ spl144_66
| ~ spl144_168
| ~ spl144_174
| ~ spl144_463 ),
inference(forward_demodulation,[],[f12984,f2283]) ).
fof(f12984,plain,
( op2(e20,e22) = h4(op1(e10,e12))
| ~ spl144_66
| ~ spl144_168
| ~ spl144_463 ),
inference(forward_demodulation,[],[f12983,f1765]) ).
fof(f12983,plain,
( h4(op1(e10,e12)) = op2(h4(e10),e22)
| ~ spl144_168
| ~ spl144_463 ),
inference(forward_demodulation,[],[f12067,f2253]) ).
fof(f12067,plain,
( h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
| ~ spl144_463 ),
inference(avatar_component_clause,[],[f12066]) ).
fof(f13308,plain,
( spl144_543
| ~ spl144_96
| ~ spl144_165
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_501 ),
inference(avatar_split_clause,[],[f13290,f12400,f4467,f3236,f3174,f2235,f1901,f13305]) ).
fof(f13305,plain,
( spl144_543
<=> e22 = h3(op1(e10,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_543])]) ).
fof(f13290,plain,
( e22 = h3(op1(e10,e12))
| ~ spl144_96
| ~ spl144_165
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_501 ),
inference(forward_demodulation,[],[f13289,f1902]) ).
fof(f13289,plain,
( h3(e12) = h3(op1(e10,e12))
| ~ spl144_96
| ~ spl144_165
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_501 ),
inference(forward_demodulation,[],[f12541,f2237]) ).
fof(f12541,plain,
( op2(e22,e22) = h3(op1(e10,e12))
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_501 ),
inference(forward_demodulation,[],[f12540,f11751]) ).
fof(f12540,plain,
( h3(op1(e10,e12)) = op2(h3(e10),e22)
| ~ spl144_96
| ~ spl144_501 ),
inference(forward_demodulation,[],[f12401,f1902]) ).
fof(f12401,plain,
( h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
| ~ spl144_501 ),
inference(avatar_component_clause,[],[f12400]) ).
fof(f13302,plain,
( ~ spl144_542
| ~ spl144_168
| ~ spl144_258
| spl144_491 ),
inference(avatar_split_clause,[],[f13288,f12316,f2694,f2251,f13299]) ).
fof(f13288,plain,
( e21 != h4(op1(e10,e12))
| ~ spl144_168
| ~ spl144_258
| spl144_491 ),
inference(forward_demodulation,[],[f12370,f2696]) ).
fof(f12370,plain,
( op2(e23,e22) != h4(op1(e10,e12))
| ~ spl144_168
| spl144_491 ),
inference(forward_demodulation,[],[f12318,f2253]) ).
fof(f13287,plain,
( spl144_213
| ~ spl144_426
| ~ spl144_453 ),
inference(avatar_split_clause,[],[f13118,f11823,f4505,f2465]) ).
fof(f13272,plain,
( spl144_28
| ~ spl144_209
| ~ spl144_426
| ~ spl144_456 ),
inference(avatar_split_clause,[],[f13269,f11835,f4505,f2446,f1577]) ).
fof(f13269,plain,
( e12 = e13
| ~ spl144_209
| ~ spl144_426
| ~ spl144_456 ),
inference(forward_demodulation,[],[f11848,f4507]) ).
fof(f11848,plain,
( op1(e10,e10) = e13
| ~ spl144_209
| ~ spl144_456 ),
inference(forward_demodulation,[],[f11837,f2448]) ).
fof(f13255,plain,
( spl144_370
| spl144_25
| spl144_27
| spl144_28
| ~ spl144_213
| ~ spl144_386
| ~ spl144_426 ),
inference(avatar_split_clause,[],[f13029,f4505,f3418,f2465,f1577,f1572,f1562,f3309]) ).
fof(f13029,plain,
( e12 = e13
| e11 = e13
| e10 = e13
| e13 = op1(e10,e13)
| ~ spl144_213
| ~ spl144_386
| ~ spl144_426 ),
inference(forward_demodulation,[],[f13028,f4507]) ).
fof(f13028,plain,
( e11 = e13
| e10 = e13
| e13 = op1(e10,e13)
| op1(e10,e10) = e13
| ~ spl144_213
| ~ spl144_386 ),
inference(forward_demodulation,[],[f13027,f3420]) ).
fof(f13027,plain,
( e10 = e13
| e13 = op1(e10,e13)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13
| ~ spl144_213 ),
inference(forward_demodulation,[],[f576,f2467]) ).
fof(f13253,plain,
( ~ spl144_226
| ~ spl144_385
| spl144_458 ),
inference(avatar_split_clause,[],[f12029,f12010,f3411,f2527]) ).
fof(f12029,plain,
( e11 != op1(e11,e12)
| ~ spl144_385
| spl144_458 ),
inference(forward_demodulation,[],[f12011,f3413]) ).
fof(f13249,plain,
( ~ spl144_226
| ~ spl144_87
| spl144_278 ),
inference(avatar_split_clause,[],[f2805,f2801,f1860,f2527]) ).
fof(f2801,plain,
( spl144_278
<=> op1(e11,e12) = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_278])]) ).
fof(f2805,plain,
( e11 != op1(e11,e12)
| ~ spl144_87
| spl144_278 ),
inference(forward_demodulation,[],[f2803,f1862]) ).
fof(f2803,plain,
( op1(e11,e12) != op1(e13,e12)
| spl144_278 ),
inference(avatar_component_clause,[],[f2801]) ).
fof(f13238,plain,
( spl144_226
| ~ spl144_385
| ~ spl144_458 ),
inference(avatar_split_clause,[],[f12024,f12010,f3411,f2527]) ).
fof(f12024,plain,
( e11 = op1(e11,e12)
| ~ spl144_385
| ~ spl144_458 ),
inference(forward_demodulation,[],[f12012,f3413]) ).
fof(f12012,plain,
( e11 = op1(e11,op1(e11,e11))
| ~ spl144_458 ),
inference(avatar_component_clause,[],[f12010]) ).
fof(f13227,plain,
( ~ spl144_539
| ~ spl144_32
| ~ spl144_66
| ~ spl144_364
| spl144_478 ),
inference(avatar_split_clause,[],[f13220,f12205,f3269,f1764,f1597,f13044]) ).
fof(f13220,plain,
( e23 != h4(op1(e10,e13))
| ~ spl144_32
| ~ spl144_66
| ~ spl144_364
| spl144_478 ),
inference(forward_demodulation,[],[f13215,f3271]) ).
fof(f13215,plain,
( op2(e20,e23) != h4(op1(e10,e13))
| ~ spl144_32
| ~ spl144_66
| spl144_478 ),
inference(forward_demodulation,[],[f13214,f1765]) ).
fof(f13214,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e23)
| ~ spl144_32
| spl144_478 ),
inference(forward_demodulation,[],[f12207,f1599]) ).
fof(f13219,plain,
( spl144_28
| ~ spl144_371
| ~ spl144_376
| ~ spl144_459 ),
inference(avatar_split_clause,[],[f13181,f12014,f3347,f3313,f1577]) ).
fof(f13181,plain,
( e12 = e13
| ~ spl144_371
| ~ spl144_376
| ~ spl144_459 ),
inference(forward_demodulation,[],[f3315,f13153]) ).
fof(f13203,plain,
( spl144_357
| ~ spl144_32
| ~ spl144_66
| ~ spl144_213
| ~ spl144_371
| ~ spl144_376
| ~ spl144_459
| ~ spl144_478 ),
inference(avatar_split_clause,[],[f13189,f12205,f12014,f3347,f3313,f2465,f1764,f1597,f3221]) ).
fof(f13189,plain,
( e20 = op2(e20,e23)
| ~ spl144_32
| ~ spl144_66
| ~ spl144_213
| ~ spl144_371
| ~ spl144_376
| ~ spl144_459
| ~ spl144_478 ),
inference(forward_demodulation,[],[f13188,f1765]) ).
fof(f13188,plain,
( op2(e20,e23) = h4(e10)
| ~ spl144_32
| ~ spl144_66
| ~ spl144_213
| ~ spl144_371
| ~ spl144_376
| ~ spl144_459
| ~ spl144_478 ),
inference(forward_demodulation,[],[f13187,f2467]) ).
fof(f13187,plain,
( op2(e20,e23) = h4(op1(e10,e12))
| ~ spl144_32
| ~ spl144_66
| ~ spl144_371
| ~ spl144_376
| ~ spl144_459
| ~ spl144_478 ),
inference(forward_demodulation,[],[f13053,f13181]) ).
fof(f13053,plain,
( op2(e20,e23) = h4(op1(e10,e13))
| ~ spl144_32
| ~ spl144_66
| ~ spl144_478 ),
inference(forward_demodulation,[],[f13052,f1765]) ).
fof(f13052,plain,
( h4(op1(e10,e13)) = op2(h4(e10),e23)
| ~ spl144_32
| ~ spl144_478 ),
inference(forward_demodulation,[],[f12206,f1599]) ).
fof(f13186,plain,
( spl144_3
| ~ spl144_66
| ~ spl144_213
| ~ spl144_371
| ~ spl144_376
| ~ spl144_459
| ~ spl144_539 ),
inference(avatar_split_clause,[],[f13185,f13044,f12014,f3347,f3313,f2465,f1764,f1452]) ).
fof(f13185,plain,
( e20 = e23
| ~ spl144_66
| ~ spl144_213
| ~ spl144_371
| ~ spl144_376
| ~ spl144_459
| ~ spl144_539 ),
inference(forward_demodulation,[],[f13184,f1765]) ).
fof(f13184,plain,
( e23 = h4(e10)
| ~ spl144_213
| ~ spl144_371
| ~ spl144_376
| ~ spl144_459
| ~ spl144_539 ),
inference(forward_demodulation,[],[f13183,f2467]) ).
fof(f13183,plain,
( e23 = h4(op1(e10,e12))
| ~ spl144_371
| ~ spl144_376
| ~ spl144_459
| ~ spl144_539 ),
inference(forward_demodulation,[],[f13045,f13181]) ).
fof(f13182,plain,
( spl144_539
| ~ spl144_66
| ~ spl144_364
| ~ spl144_464 ),
inference(avatar_split_clause,[],[f13177,f12070,f3269,f1764,f13044]) ).
fof(f12070,plain,
( spl144_464
<=> h4(op1(e10,e13)) = op2(h4(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_464])]) ).
fof(f13177,plain,
( e23 = h4(op1(e10,e13))
| ~ spl144_66
| ~ spl144_364
| ~ spl144_464 ),
inference(forward_demodulation,[],[f13057,f3271]) ).
fof(f13057,plain,
( op2(e20,e23) = h4(op1(e10,e13))
| ~ spl144_66
| ~ spl144_464 ),
inference(forward_demodulation,[],[f12071,f1765]) ).
fof(f12071,plain,
( h4(op1(e10,e13)) = op2(h4(e10),e23)
| ~ spl144_464 ),
inference(avatar_component_clause,[],[f12070]) ).
fof(f13174,plain,
( spl144_436
| spl144_374
| spl144_23
| spl144_25
| ~ spl144_370
| ~ spl144_382 ),
inference(avatar_split_clause,[],[f4948,f3391,f3309,f1562,f1552,f3331,f5298]) ).
fof(f4948,plain,
( e10 = e13
| e10 = e11
| e10 = op1(e13,e13)
| e10 = op1(e11,e13)
| ~ spl144_370
| ~ spl144_382 ),
inference(forward_demodulation,[],[f4947,f3311]) ).
fof(f4947,plain,
( e10 = e11
| e10 = op1(e13,e13)
| e10 = op1(e11,e13)
| e10 = op1(e10,e13)
| ~ spl144_382 ),
inference(forward_demodulation,[],[f595,f3393]) ).
fof(f13173,plain,
( ~ spl144_541
| ~ spl144_32
| ~ spl144_376
| spl144_520 ),
inference(avatar_split_clause,[],[f13157,f12637,f3347,f1597,f13170]) ).
fof(f12637,plain,
( spl144_520
<=> h1(e10) = h4(op1(e11,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_520])]) ).
fof(f13157,plain,
( e23 != h1(e10)
| ~ spl144_32
| ~ spl144_376
| spl144_520 ),
inference(forward_demodulation,[],[f13155,f1599]) ).
fof(f13155,plain,
( h1(e10) != h4(e13)
| ~ spl144_376
| spl144_520 ),
inference(superposition,[],[f12639,f3349]) ).
fof(f12639,plain,
( h1(e10) != h4(op1(e11,e12))
| spl144_520 ),
inference(avatar_component_clause,[],[f12637]) ).
fof(f13167,plain,
( spl144_534
| ~ spl144_352
| ~ spl144_410
| ~ spl144_493 ),
inference(avatar_split_clause,[],[f13165,f12324,f4014,f3191,f12843]) ).
fof(f12324,plain,
( spl144_493
<=> h4(op1(e11,e10)) = op2(h4(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_493])]) ).
fof(f13165,plain,
( e20 = h4(op1(e11,e10))
| ~ spl144_352
| ~ spl144_410
| ~ spl144_493 ),
inference(forward_demodulation,[],[f13000,f4016]) ).
fof(f13000,plain,
( op2(e21,e23) = h4(op1(e11,e10))
| ~ spl144_352
| ~ spl144_493 ),
inference(forward_demodulation,[],[f12325,f3193]) ).
fof(f12325,plain,
( h4(op1(e11,e10)) = op2(h4(e11),e23)
| ~ spl144_493 ),
inference(avatar_component_clause,[],[f12324]) ).
fof(f13160,plain,
( spl144_381
| spl144_26
| spl144_23
| ~ spl144_373
| ~ spl144_426
| ~ spl144_536 ),
inference(avatar_split_clause,[],[f12908,f12893,f4505,f3327,f1552,f1567,f3387]) ).
fof(f12908,plain,
( e10 = e11
| e11 = e12
| e11 = op1(e12,e10)
| ~ spl144_373
| ~ spl144_426
| ~ spl144_536 ),
inference(duplicate_literal_removal,[],[f12907]) ).
fof(f12907,plain,
( e10 = e11
| e11 = e12
| e10 = e11
| e11 = op1(e12,e10)
| ~ spl144_373
| ~ spl144_426
| ~ spl144_536 ),
inference(forward_demodulation,[],[f5866,f12895]) ).
fof(f12895,plain,
( e10 = op1(e11,e10)
| ~ spl144_536 ),
inference(avatar_component_clause,[],[f12893]) ).
fof(f13138,plain,
( spl144_518
| ~ spl144_96
| ~ spl144_165
| ~ spl144_349
| ~ spl144_422
| ~ spl144_505 ),
inference(avatar_split_clause,[],[f13128,f12416,f4467,f3174,f2235,f1901,f12606]) ).
fof(f12606,plain,
( spl144_518
<=> e22 = h3(op1(e11,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_518])]) ).
fof(f13128,plain,
( e22 = h3(op1(e11,e12))
| ~ spl144_96
| ~ spl144_165
| ~ spl144_349
| ~ spl144_422
| ~ spl144_505 ),
inference(forward_demodulation,[],[f13127,f1902]) ).
fof(f13127,plain,
( h3(e12) = h3(op1(e11,e12))
| ~ spl144_96
| ~ spl144_165
| ~ spl144_349
| ~ spl144_422
| ~ spl144_505 ),
inference(forward_demodulation,[],[f12628,f2237]) ).
fof(f12628,plain,
( op2(e22,e22) = h3(op1(e11,e12))
| ~ spl144_96
| ~ spl144_349
| ~ spl144_422
| ~ spl144_505 ),
inference(forward_demodulation,[],[f12627,f11749]) ).
fof(f12627,plain,
( h3(op1(e11,e12)) = op2(h3(e11),e22)
| ~ spl144_96
| ~ spl144_505 ),
inference(forward_demodulation,[],[f12417,f1902]) ).
fof(f12417,plain,
( h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
| ~ spl144_505 ),
inference(avatar_component_clause,[],[f12416]) ).
fof(f13121,plain,
( spl144_27
| spl144_28
| spl144_25
| ~ spl144_197
| ~ spl144_380
| ~ spl144_385
| ~ spl144_536 ),
inference(avatar_split_clause,[],[f13033,f12893,f3411,f3375,f2389,f1562,f1577,f1572]) ).
fof(f2389,plain,
( spl144_197
<=> e11 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_197])]) ).
fof(f3375,plain,
( spl144_380
<=> e12 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_380])]) ).
fof(f13033,plain,
( e10 = e13
| e12 = e13
| e11 = e13
| ~ spl144_197
| ~ spl144_380
| ~ spl144_385
| ~ spl144_536 ),
inference(forward_demodulation,[],[f13032,f12895]) ).
fof(f13032,plain,
( e12 = e13
| e11 = e13
| e13 = op1(e11,e10)
| ~ spl144_197
| ~ spl144_380
| ~ spl144_385 ),
inference(duplicate_literal_removal,[],[f13031]) ).
fof(f13031,plain,
( e12 = e13
| e12 = e13
| e11 = e13
| e13 = op1(e11,e10)
| ~ spl144_197
| ~ spl144_380
| ~ spl144_385 ),
inference(forward_demodulation,[],[f13030,f3413]) ).
fof(f13030,plain,
( e12 = e13
| e11 = e13
| e13 = op1(e11,e11)
| e13 = op1(e11,e10)
| ~ spl144_197
| ~ spl144_380 ),
inference(forward_demodulation,[],[f11938,f3377]) ).
fof(f3377,plain,
( e12 = op1(e11,e12)
| ~ spl144_380 ),
inference(avatar_component_clause,[],[f3375]) ).
fof(f11938,plain,
( e11 = e13
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10)
| ~ spl144_197 ),
inference(forward_demodulation,[],[f584,f2391]) ).
fof(f2391,plain,
( e11 = op1(e11,e13)
| ~ spl144_197 ),
inference(avatar_component_clause,[],[f2389]) ).
fof(f584,plain,
( e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f13119,plain,
( ~ spl144_225
| ~ spl144_213 ),
inference(avatar_split_clause,[],[f13116,f2465,f2523]) ).
fof(f2523,plain,
( spl144_225
<=> sP80 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_225])]) ).
fof(f13116,plain,
( ~ sP80
| ~ spl144_213 ),
inference(trivial_inequality_removal,[],[f13115]) ).
fof(f13115,plain,
( e10 != e10
| ~ sP80
| ~ spl144_213 ),
inference(forward_demodulation,[],[f1146,f2467]) ).
fof(f1146,plain,
( e10 != op1(e10,e12)
| ~ sP80 ),
inference(cnf_transformation,[],[f309]) ).
fof(f309,plain,
( ( e13 != op1(e13,e12)
& e12 != op1(e12,e12)
& e11 != op1(e11,e12)
& e10 != op1(e10,e12) )
| ~ sP80 ),
inference(nnf_transformation,[],[f103]) ).
fof(f13113,plain,
( ~ spl144_213
| ~ spl144_426
| spl144_453 ),
inference(avatar_split_clause,[],[f12981,f11823,f4505,f2465]) ).
fof(f12981,plain,
( e10 != op1(e10,e12)
| ~ spl144_426
| spl144_453 ),
inference(forward_demodulation,[],[f11824,f4507]) ).
fof(f13111,plain,
( ~ spl144_426
| ~ spl144_213
| spl144_455 ),
inference(avatar_split_clause,[],[f12971,f11831,f2465,f4505]) ).
fof(f12971,plain,
( op1(e10,e10) != e12
| ~ spl144_213
| spl144_455 ),
inference(forward_demodulation,[],[f11832,f2467]) ).
fof(f11832,plain,
( e12 != op1(e10,op1(e10,e12))
| spl144_455 ),
inference(avatar_component_clause,[],[f11831]) ).
fof(f13110,plain,
( ~ spl144_540
| ~ spl144_197
| spl144_523 ),
inference(avatar_split_clause,[],[f13073,f12738,f2389,f13107]) ).
fof(f13107,plain,
( spl144_540
<=> e20 = h4(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_540])]) ).
fof(f13073,plain,
( e20 != h4(e11)
| ~ spl144_197
| spl144_523 ),
inference(superposition,[],[f12740,f2391]) ).
fof(f13056,plain,
( ~ spl144_32
| ~ spl144_66
| ~ spl144_364
| ~ spl144_370
| spl144_464 ),
inference(avatar_split_clause,[],[f13050,f12070,f3309,f3269,f1764,f1597]) ).
fof(f13050,plain,
( e23 != h4(e13)
| ~ spl144_66
| ~ spl144_364
| ~ spl144_370
| spl144_464 ),
inference(forward_demodulation,[],[f12913,f3311]) ).
fof(f12913,plain,
( e23 != h4(op1(e10,e13))
| ~ spl144_66
| ~ spl144_364
| spl144_464 ),
inference(forward_demodulation,[],[f12162,f3271]) ).
fof(f12162,plain,
( op2(e20,e23) != h4(op1(e10,e13))
| ~ spl144_66
| spl144_464 ),
inference(forward_demodulation,[],[f12072,f1765]) ).
fof(f12072,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e23)
| spl144_464 ),
inference(avatar_component_clause,[],[f12070]) ).
fof(f13049,plain,
( ~ spl144_32
| ~ spl144_370
| spl144_539 ),
inference(avatar_split_clause,[],[f13048,f13044,f3309,f1597]) ).
fof(f13048,plain,
( e23 != h4(e13)
| ~ spl144_370
| spl144_539 ),
inference(forward_demodulation,[],[f13046,f3311]) ).
fof(f13046,plain,
( e23 != h4(op1(e10,e13))
| spl144_539 ),
inference(avatar_component_clause,[],[f13044]) ).
fof(f13047,plain,
( ~ spl144_539
| ~ spl144_32
| ~ spl144_66
| ~ spl144_364
| spl144_478 ),
inference(avatar_split_clause,[],[f12911,f12205,f3269,f1764,f1597,f13044]) ).
fof(f12911,plain,
( e23 != h4(op1(e10,e13))
| ~ spl144_32
| ~ spl144_66
| ~ spl144_364
| spl144_478 ),
inference(forward_demodulation,[],[f12284,f3271]) ).
fof(f12284,plain,
( op2(e20,e23) != h4(op1(e10,e13))
| ~ spl144_32
| ~ spl144_66
| spl144_478 ),
inference(forward_demodulation,[],[f12283,f1765]) ).
fof(f12283,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e23)
| ~ spl144_32
| spl144_478 ),
inference(forward_demodulation,[],[f12207,f1599]) ).
fof(f13026,plain,
( spl144_28
| ~ spl144_376
| ~ spl144_380 ),
inference(avatar_split_clause,[],[f12932,f3375,f3347,f1577]) ).
fof(f12932,plain,
( e12 = e13
| ~ spl144_376
| ~ spl144_380 ),
inference(forward_demodulation,[],[f3349,f3377]) ).
fof(f13023,plain,
( ~ spl144_538
| ~ spl144_32
| ~ spl144_85
| spl144_492 ),
inference(avatar_split_clause,[],[f12910,f12320,f1850,f1597,f13020]) ).
fof(f12320,plain,
( spl144_492
<=> h4(op1(e10,e13)) = op2(e23,h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_492])]) ).
fof(f12910,plain,
( e22 != h4(op1(e10,e13))
| ~ spl144_32
| ~ spl144_85
| spl144_492 ),
inference(forward_demodulation,[],[f12367,f1852]) ).
fof(f12367,plain,
( op2(e23,e23) != h4(op1(e10,e13))
| ~ spl144_32
| spl144_492 ),
inference(forward_demodulation,[],[f12322,f1599]) ).
fof(f12322,plain,
( h4(op1(e10,e13)) != op2(e23,h4(e13))
| spl144_492 ),
inference(avatar_component_clause,[],[f12320]) ).
fof(f13016,plain,
( ~ spl144_537
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_393
| ~ spl144_422
| spl144_502 ),
inference(avatar_split_clause,[],[f12909,f12404,f4467,f3479,f3236,f3174,f1901,f13013]) ).
fof(f13013,plain,
( spl144_537
<=> e21 = h3(op1(e10,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_537])]) ).
fof(f12404,plain,
( spl144_502
<=> h3(op1(e10,e13)) = op2(h3(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_502])]) ).
fof(f12909,plain,
( e21 != h3(op1(e10,e13))
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_393
| ~ spl144_422
| spl144_502 ),
inference(forward_demodulation,[],[f12500,f3481]) ).
fof(f12500,plain,
( op2(e22,e23) != h3(op1(e10,e13))
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| spl144_502 ),
inference(forward_demodulation,[],[f12406,f11751]) ).
fof(f12406,plain,
( h3(op1(e10,e13)) != op2(h3(e10),e23)
| spl144_502 ),
inference(avatar_component_clause,[],[f12404]) ).
fof(f12998,plain,
( spl144_399
| ~ spl144_66
| ~ spl144_106
| ~ spl144_166
| ~ spl144_352
| ~ spl144_401
| ~ spl144_493
| ~ spl144_536 ),
inference(avatar_split_clause,[],[f12993,f12893,f12324,f3575,f3191,f2240,f1946,f1764,f3557]) ).
fof(f3557,plain,
( spl144_399
<=> e20 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_399])]) ).
fof(f12993,plain,
( e20 = op2(e21,e21)
| ~ spl144_66
| ~ spl144_106
| ~ spl144_166
| ~ spl144_352
| ~ spl144_401
| ~ spl144_493
| ~ spl144_536 ),
inference(forward_demodulation,[],[f12992,f1765]) ).
fof(f12992,plain,
( op2(e21,e21) = h4(e10)
| ~ spl144_106
| ~ spl144_166
| ~ spl144_352
| ~ spl144_401
| ~ spl144_493
| ~ spl144_536 ),
inference(forward_demodulation,[],[f12991,f12895]) ).
fof(f12991,plain,
( op2(e21,e21) = h4(op1(e11,e10))
| ~ spl144_106
| ~ spl144_166
| ~ spl144_352
| ~ spl144_401
| ~ spl144_493 ),
inference(forward_demodulation,[],[f12990,f3193]) ).
fof(f12990,plain,
( h4(op1(e11,e10)) = op2(h4(e11),e21)
| ~ spl144_106
| ~ spl144_166
| ~ spl144_401
| ~ spl144_493 ),
inference(forward_demodulation,[],[f12325,f12890]) ).
fof(f12994,plain,
( ~ spl144_66
| ~ spl144_66
| ~ spl144_446
| spl144_479
| ~ spl144_536 ),
inference(avatar_split_clause,[],[f12988,f12893,f12209,f8434,f1764,f1764]) ).
fof(f12988,plain,
( e20 != h4(e10)
| ~ spl144_66
| ~ spl144_446
| spl144_479
| ~ spl144_536 ),
inference(forward_demodulation,[],[f12696,f12895]) ).
fof(f12696,plain,
( e20 != h4(op1(e11,e10))
| ~ spl144_66
| ~ spl144_446
| spl144_479 ),
inference(forward_demodulation,[],[f12280,f8436]) ).
fof(f12280,plain,
( op2(e23,e20) != h4(op1(e11,e10))
| ~ spl144_66
| spl144_479 ),
inference(forward_demodulation,[],[f12211,f1765]) ).
fof(f12987,plain,
( ~ spl144_66
| spl144_534
| ~ spl144_536 ),
inference(avatar_split_clause,[],[f12902,f12893,f12843,f1764]) ).
fof(f12902,plain,
( e20 != h4(e10)
| spl144_534
| ~ spl144_536 ),
inference(superposition,[],[f12845,f12895]) ).
fof(f12845,plain,
( e20 != h4(op1(e11,e10))
| spl144_534 ),
inference(avatar_component_clause,[],[f12843]) ).
fof(f12982,plain,
( ~ spl144_174
| ~ spl144_66
| ~ spl144_168
| ~ spl144_213
| spl144_463 ),
inference(avatar_split_clause,[],[f12974,f12066,f2465,f2251,f1764,f2281]) ).
fof(f12974,plain,
( e20 != op2(e20,e22)
| ~ spl144_66
| ~ spl144_168
| ~ spl144_213
| spl144_463 ),
inference(forward_demodulation,[],[f12973,f1765]) ).
fof(f12973,plain,
( op2(e20,e22) != h4(e10)
| ~ spl144_66
| ~ spl144_168
| ~ spl144_213
| spl144_463 ),
inference(forward_demodulation,[],[f12166,f2467]) ).
fof(f12166,plain,
( op2(e20,e22) != h4(op1(e10,e12))
| ~ spl144_66
| ~ spl144_168
| spl144_463 ),
inference(forward_demodulation,[],[f12165,f1765]) ).
fof(f12165,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e22)
| ~ spl144_168
| spl144_463 ),
inference(forward_demodulation,[],[f12068,f2253]) ).
fof(f12068,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| spl144_463 ),
inference(avatar_component_clause,[],[f12066]) ).
fof(f12956,plain,
( ~ spl144_225
| ~ spl144_426
| ~ spl144_453 ),
inference(avatar_split_clause,[],[f12917,f11823,f4505,f2523]) ).
fof(f12917,plain,
( ~ sP80
| ~ spl144_426
| ~ spl144_453 ),
inference(trivial_inequality_removal,[],[f12916]) ).
fof(f12916,plain,
( e10 != e10
| ~ sP80
| ~ spl144_426
| ~ spl144_453 ),
inference(forward_demodulation,[],[f1146,f12001]) ).
fof(f12001,plain,
( e10 = op1(e10,e12)
| ~ spl144_426
| ~ spl144_453 ),
inference(superposition,[],[f11825,f4507]) ).
fof(f12906,plain,
( spl144_23
| ~ spl144_205
| ~ spl144_536 ),
inference(avatar_split_clause,[],[f12905,f12893,f2427,f1552]) ).
fof(f12905,plain,
( e10 = e11
| ~ spl144_205
| ~ spl144_536 ),
inference(forward_demodulation,[],[f2429,f12895]) ).
fof(f12904,plain,
( spl144_205
| spl144_197
| spl144_26
| ~ spl144_380
| ~ spl144_385 ),
inference(avatar_split_clause,[],[f12667,f3411,f3375,f1567,f2389,f2427]) ).
fof(f12667,plain,
( e11 = e12
| e11 = op1(e11,e13)
| e11 = op1(e11,e10)
| ~ spl144_380
| ~ spl144_385 ),
inference(duplicate_literal_removal,[],[f12666]) ).
fof(f12666,plain,
( e11 = e12
| e11 = e12
| e11 = op1(e11,e13)
| e11 = op1(e11,e10)
| ~ spl144_380
| ~ spl144_385 ),
inference(forward_demodulation,[],[f4922,f3413]) ).
fof(f4922,plain,
( e11 = e12
| e11 = op1(e11,e13)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10)
| ~ spl144_380 ),
inference(forward_demodulation,[],[f580,f3377]) ).
fof(f12896,plain,
( spl144_536
| spl144_436
| spl144_24
| ~ spl144_380
| ~ spl144_385 ),
inference(avatar_split_clause,[],[f12553,f3411,f3375,f1557,f5298,f12893]) ).
fof(f12553,plain,
( e10 = e12
| e10 = op1(e11,e13)
| e10 = op1(e11,e10)
| ~ spl144_380
| ~ spl144_385 ),
inference(duplicate_literal_removal,[],[f5446]) ).
fof(f5446,plain,
( e10 = e12
| e10 = e12
| e10 = op1(e11,e13)
| e10 = op1(e11,e10)
| ~ spl144_380
| ~ spl144_385 ),
inference(forward_demodulation,[],[f4933,f3413]) ).
fof(f4933,plain,
( e10 = e12
| e10 = op1(e11,e13)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10)
| ~ spl144_380 ),
inference(forward_demodulation,[],[f578,f3377]) ).
fof(f12871,plain,
( spl144_417
| ~ spl144_106
| ~ spl144_350
| ~ spl144_395 ),
inference(avatar_split_clause,[],[f11549,f3500,f3179,f1946,f4356]) ).
fof(f12851,plain,
( ~ spl144_535
| ~ spl144_66
| ~ spl144_352
| ~ spl144_407
| spl144_465 ),
inference(avatar_split_clause,[],[f12697,f12074,f3705,f3191,f1764,f12848]) ).
fof(f12697,plain,
( e22 != h4(op1(e11,e10))
| ~ spl144_66
| ~ spl144_352
| ~ spl144_407
| spl144_465 ),
inference(forward_demodulation,[],[f12159,f3707]) ).
fof(f12159,plain,
( op2(e21,e20) != h4(op1(e11,e10))
| ~ spl144_66
| ~ spl144_352
| spl144_465 ),
inference(forward_demodulation,[],[f12158,f3193]) ).
fof(f12158,plain,
( h4(op1(e11,e10)) != op2(h4(e11),e20)
| ~ spl144_66
| spl144_465 ),
inference(forward_demodulation,[],[f12076,f1765]) ).
fof(f12076,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| spl144_465 ),
inference(avatar_component_clause,[],[f12074]) ).
fof(f12846,plain,
( ~ spl144_534
| ~ spl144_352
| ~ spl144_410
| spl144_493 ),
inference(avatar_split_clause,[],[f12695,f12324,f4014,f3191,f12843]) ).
fof(f12695,plain,
( e20 != h4(op1(e11,e10))
| ~ spl144_352
| ~ spl144_410
| spl144_493 ),
inference(forward_demodulation,[],[f12363,f4016]) ).
fof(f12363,plain,
( op2(e21,e23) != h4(op1(e11,e10))
| ~ spl144_352
| spl144_493 ),
inference(forward_demodulation,[],[f12326,f3193]) ).
fof(f12326,plain,
( h4(op1(e11,e10)) != op2(h4(e11),e23)
| spl144_493 ),
inference(avatar_component_clause,[],[f12324]) ).
fof(f12841,plain,
( spl144_533
| ~ spl144_96
| ~ spl144_165
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_503 ),
inference(avatar_split_clause,[],[f12694,f12408,f4467,f3236,f3174,f2235,f1901,f12838]) ).
fof(f12838,plain,
( spl144_533
<=> e22 = h3(op1(e11,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_533])]) ).
fof(f12408,plain,
( spl144_503
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_503])]) ).
fof(f12694,plain,
( e22 = h3(op1(e11,e10))
| ~ spl144_96
| ~ spl144_165
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_503 ),
inference(forward_demodulation,[],[f12693,f1902]) ).
fof(f12693,plain,
( h3(e12) = h3(op1(e11,e10))
| ~ spl144_96
| ~ spl144_165
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_503 ),
inference(forward_demodulation,[],[f12549,f2237]) ).
fof(f12549,plain,
( op2(e22,e22) = h3(op1(e11,e10))
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_503 ),
inference(forward_demodulation,[],[f12548,f11749]) ).
fof(f12548,plain,
( h3(op1(e11,e10)) = op2(h3(e11),e22)
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_503 ),
inference(forward_demodulation,[],[f12409,f11751]) ).
fof(f12409,plain,
( h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
| ~ spl144_503 ),
inference(avatar_component_clause,[],[f12408]) ).
fof(f12832,plain,
( ~ spl144_402
| ~ spl144_32
| ~ spl144_66
| ~ spl144_168
| ~ spl144_378
| spl144_469 ),
inference(avatar_split_clause,[],[f12817,f12090,f3360,f2251,f1764,f1597,f3649]) ).
fof(f12817,plain,
( e23 != op2(e22,e20)
| ~ spl144_32
| ~ spl144_66
| ~ spl144_168
| ~ spl144_378
| spl144_469 ),
inference(forward_demodulation,[],[f12816,f1599]) ).
fof(f12816,plain,
( op2(e22,e20) != h4(e13)
| ~ spl144_66
| ~ spl144_168
| ~ spl144_378
| spl144_469 ),
inference(forward_demodulation,[],[f12145,f3362]) ).
fof(f12145,plain,
( op2(e22,e20) != h4(op1(e12,e10))
| ~ spl144_66
| ~ spl144_168
| spl144_469 ),
inference(forward_demodulation,[],[f12144,f2253]) ).
fof(f12144,plain,
( h4(op1(e12,e10)) != op2(h4(e12),e20)
| ~ spl144_66
| spl144_469 ),
inference(forward_demodulation,[],[f12092,f1765]) ).
fof(f12830,plain,
( ~ spl144_532
| ~ spl144_378
| spl144_531 ),
inference(avatar_split_clause,[],[f12818,f12812,f3360,f12827]) ).
fof(f12818,plain,
( e21 != h4(e13)
| ~ spl144_378
| spl144_531 ),
inference(forward_demodulation,[],[f12813,f3362]) ).
fof(f12813,plain,
( e21 != h4(op1(e12,e10))
| spl144_531 ),
inference(avatar_component_clause,[],[f12812]) ).
fof(f12815,plain,
( spl144_531
| ~ spl144_168
| ~ spl144_393
| ~ spl144_495 ),
inference(avatar_split_clause,[],[f12689,f12332,f3479,f2251,f12812]) ).
fof(f12689,plain,
( e21 = h4(op1(e12,e10))
| ~ spl144_168
| ~ spl144_393
| ~ spl144_495 ),
inference(forward_demodulation,[],[f12385,f3481]) ).
fof(f12385,plain,
( op2(e22,e23) = h4(op1(e12,e10))
| ~ spl144_168
| ~ spl144_495 ),
inference(forward_demodulation,[],[f12333,f2253]) ).
fof(f12333,plain,
( h4(op1(e12,e10)) = op2(h4(e12),e23)
| ~ spl144_495 ),
inference(avatar_component_clause,[],[f12332]) ).
fof(f12803,plain,
( ~ spl144_422
| ~ spl144_30
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_378
| ~ spl144_422
| spl144_507 ),
inference(avatar_split_clause,[],[f12796,f12424,f4467,f3360,f3236,f3174,f1901,f1587,f4467]) ).
fof(f12796,plain,
( e22 != op2(e22,e22)
| ~ spl144_30
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_378
| ~ spl144_422
| spl144_507 ),
inference(forward_demodulation,[],[f12795,f1589]) ).
fof(f12795,plain,
( op2(e22,e22) != h3(e13)
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_378
| ~ spl144_422
| spl144_507 ),
inference(forward_demodulation,[],[f12483,f3362]) ).
fof(f12483,plain,
( op2(e22,e22) != h3(op1(e12,e10))
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| spl144_507 ),
inference(forward_demodulation,[],[f12482,f1902]) ).
fof(f12482,plain,
( h3(op1(e12,e10)) != op2(h3(e12),e22)
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| spl144_507 ),
inference(forward_demodulation,[],[f12426,f11751]) ).
fof(f12426,plain,
( h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| spl144_507 ),
inference(avatar_component_clause,[],[f12424]) ).
fof(f12801,plain,
( ~ spl144_30
| ~ spl144_378
| spl144_530 ),
inference(avatar_split_clause,[],[f12794,f12790,f3360,f1587]) ).
fof(f12794,plain,
( e22 != h3(e13)
| ~ spl144_378
| spl144_530 ),
inference(forward_demodulation,[],[f12791,f3362]) ).
fof(f12791,plain,
( e22 != h3(op1(e12,e10))
| spl144_530 ),
inference(avatar_component_clause,[],[f12790]) ).
fof(f12793,plain,
( spl144_530
| ~ spl144_96
| ~ spl144_165
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_507 ),
inference(avatar_split_clause,[],[f12688,f12424,f4467,f3236,f3174,f2235,f1901,f12790]) ).
fof(f12688,plain,
( e22 = h3(op1(e12,e10))
| ~ spl144_96
| ~ spl144_165
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_507 ),
inference(forward_demodulation,[],[f12687,f1902]) ).
fof(f12687,plain,
( h3(e12) = h3(op1(e12,e10))
| ~ spl144_96
| ~ spl144_165
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_507 ),
inference(forward_demodulation,[],[f12526,f2237]) ).
fof(f12526,plain,
( op2(e22,e22) = h3(op1(e12,e10))
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_507 ),
inference(forward_demodulation,[],[f12525,f1902]) ).
fof(f12525,plain,
( h3(op1(e12,e10)) = op2(h3(e12),e22)
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_507 ),
inference(forward_demodulation,[],[f12425,f11751]) ).
fof(f12785,plain,
( ~ spl144_352
| ~ spl144_168
| ~ spl144_382
| ~ spl144_393
| spl144_472 ),
inference(avatar_split_clause,[],[f12779,f12102,f3479,f3391,f2251,f3191]) ).
fof(f12779,plain,
( e21 != h4(e11)
| ~ spl144_168
| ~ spl144_382
| ~ spl144_393
| spl144_472 ),
inference(forward_demodulation,[],[f12679,f3393]) ).
fof(f12679,plain,
( e21 != h4(op1(e12,e13))
| ~ spl144_168
| ~ spl144_393
| spl144_472 ),
inference(forward_demodulation,[],[f12133,f3481]) ).
fof(f12133,plain,
( op2(e22,e23) != h4(op1(e12,e13))
| ~ spl144_168
| spl144_472 ),
inference(forward_demodulation,[],[f12104,f2253]) ).
fof(f12104,plain,
( h4(op1(e12,e13)) != op2(h4(e12),e23)
| spl144_472 ),
inference(avatar_component_clause,[],[f12102]) ).
fof(f12778,plain,
( ~ spl144_352
| ~ spl144_382
| spl144_529 ),
inference(avatar_split_clause,[],[f12777,f12773,f3391,f3191]) ).
fof(f12777,plain,
( e21 != h4(e11)
| ~ spl144_382
| spl144_529 ),
inference(forward_demodulation,[],[f12775,f3393]) ).
fof(f12775,plain,
( e21 != h4(op1(e12,e13))
| spl144_529 ),
inference(avatar_component_clause,[],[f12773]) ).
fof(f12776,plain,
( ~ spl144_529
| ~ spl144_32
| ~ spl144_168
| ~ spl144_393
| spl144_484 ),
inference(avatar_split_clause,[],[f12678,f12229,f3479,f2251,f1597,f12773]) ).
fof(f12678,plain,
( e21 != h4(op1(e12,e13))
| ~ spl144_32
| ~ spl144_168
| ~ spl144_393
| spl144_484 ),
inference(forward_demodulation,[],[f12265,f3481]) ).
fof(f12265,plain,
( op2(e22,e23) != h4(op1(e12,e13))
| ~ spl144_32
| ~ spl144_168
| spl144_484 ),
inference(forward_demodulation,[],[f12264,f2253]) ).
fof(f12264,plain,
( h4(op1(e12,e13)) != op2(h4(e12),e23)
| ~ spl144_32
| spl144_484 ),
inference(forward_demodulation,[],[f12231,f1599]) ).
fof(f12231,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| spl144_484 ),
inference(avatar_component_clause,[],[f12229]) ).
fof(f12771,plain,
( ~ spl144_528
| ~ spl144_382
| spl144_527 ),
inference(avatar_split_clause,[],[f12766,f12762,f3391,f12768]) ).
fof(f12762,plain,
( spl144_527
<=> e21 = h3(op1(e12,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_527])]) ).
fof(f12766,plain,
( e21 != h3(e11)
| ~ spl144_382
| spl144_527 ),
inference(forward_demodulation,[],[f12764,f3393]) ).
fof(f12764,plain,
( e21 != h3(op1(e12,e13))
| spl144_527 ),
inference(avatar_component_clause,[],[f12762]) ).
fof(f12765,plain,
( ~ spl144_527
| ~ spl144_96
| ~ spl144_393
| spl144_510 ),
inference(avatar_split_clause,[],[f12677,f12436,f3479,f1901,f12762]) ).
fof(f12436,plain,
( spl144_510
<=> h3(op1(e12,e13)) = op2(h3(e12),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_510])]) ).
fof(f12677,plain,
( e21 != h3(op1(e12,e13))
| ~ spl144_96
| ~ spl144_393
| spl144_510 ),
inference(forward_demodulation,[],[f12472,f3481]) ).
fof(f12472,plain,
( op2(e22,e23) != h3(op1(e12,e13))
| ~ spl144_96
| spl144_510 ),
inference(forward_demodulation,[],[f12438,f1902]) ).
fof(f12438,plain,
( h3(op1(e12,e13)) != op2(h3(e12),e23)
| spl144_510 ),
inference(avatar_component_clause,[],[f12436]) ).
fof(f12759,plain,
( ~ spl144_526
| ~ spl144_371
| spl144_525 ),
inference(avatar_split_clause,[],[f12754,f12750,f3313,f12756]) ).
fof(f12754,plain,
( e22 != h4(e13)
| ~ spl144_371
| spl144_525 ),
inference(forward_demodulation,[],[f12752,f3315]) ).
fof(f12752,plain,
( e22 != h4(op1(e11,e13))
| spl144_525 ),
inference(avatar_component_clause,[],[f12750]) ).
fof(f12753,plain,
( ~ spl144_525
| ~ spl144_32
| ~ spl144_85
| spl144_482 ),
inference(avatar_split_clause,[],[f12671,f12221,f1850,f1597,f12750]) ).
fof(f12671,plain,
( e22 != h4(op1(e11,e13))
| ~ spl144_32
| ~ spl144_85
| spl144_482 ),
inference(forward_demodulation,[],[f12272,f1852]) ).
fof(f12272,plain,
( op2(e23,e23) != h4(op1(e11,e13))
| ~ spl144_32
| spl144_482 ),
inference(forward_demodulation,[],[f12223,f1599]) ).
fof(f12747,plain,
( ~ spl144_524
| ~ spl144_371
| spl144_523 ),
inference(avatar_split_clause,[],[f12742,f12738,f3313,f12744]) ).
fof(f12742,plain,
( e20 != h4(e13)
| ~ spl144_371
| spl144_523 ),
inference(forward_demodulation,[],[f12740,f3315]) ).
fof(f12741,plain,
( ~ spl144_523
| ~ spl144_32
| ~ spl144_352
| ~ spl144_410
| spl144_494 ),
inference(avatar_split_clause,[],[f12670,f12328,f4014,f3191,f1597,f12738]) ).
fof(f12328,plain,
( spl144_494
<=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_494])]) ).
fof(f12670,plain,
( e20 != h4(op1(e11,e13))
| ~ spl144_32
| ~ spl144_352
| ~ spl144_410
| spl144_494 ),
inference(forward_demodulation,[],[f12360,f4016]) ).
fof(f12360,plain,
( op2(e21,e23) != h4(op1(e11,e13))
| ~ spl144_32
| ~ spl144_352
| spl144_494 ),
inference(forward_demodulation,[],[f12359,f3193]) ).
fof(f12359,plain,
( h4(op1(e11,e13)) != op2(h4(e11),e23)
| ~ spl144_32
| spl144_494 ),
inference(forward_demodulation,[],[f12330,f1599]) ).
fof(f12330,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| spl144_494 ),
inference(avatar_component_clause,[],[f12328]) ).
fof(f12735,plain,
( ~ spl144_522
| ~ spl144_371
| spl144_521 ),
inference(avatar_split_clause,[],[f12730,f12726,f3313,f12732]) ).
fof(f12730,plain,
( e21 != h3(e13)
| ~ spl144_371
| spl144_521 ),
inference(forward_demodulation,[],[f12728,f3315]) ).
fof(f12728,plain,
( e21 != h3(op1(e11,e13))
| spl144_521 ),
inference(avatar_component_clause,[],[f12726]) ).
fof(f12729,plain,
( ~ spl144_521
| ~ spl144_96
| ~ spl144_349
| ~ spl144_393
| ~ spl144_422
| spl144_506 ),
inference(avatar_split_clause,[],[f12669,f12420,f4467,f3479,f3174,f1901,f12726]) ).
fof(f12669,plain,
( e21 != h3(op1(e11,e13))
| ~ spl144_96
| ~ spl144_349
| ~ spl144_393
| ~ spl144_422
| spl144_506 ),
inference(forward_demodulation,[],[f12486,f3481]) ).
fof(f12486,plain,
( op2(e22,e23) != h3(op1(e11,e13))
| ~ spl144_96
| ~ spl144_349
| ~ spl144_422
| spl144_506 ),
inference(forward_demodulation,[],[f12422,f11749]) ).
fof(f12659,plain,
( spl144_436
| spl144_24
| spl144_25
| ~ spl144_380
| ~ spl144_385
| ~ spl144_429 ),
inference(avatar_split_clause,[],[f12574,f4520,f3411,f3375,f1562,f1557,f5298]) ).
fof(f12574,plain,
( e10 = e13
| e10 = e12
| e10 = op1(e11,e13)
| ~ spl144_380
| ~ spl144_385
| ~ spl144_429 ),
inference(forward_demodulation,[],[f5457,f4522]) ).
fof(f5457,plain,
( e10 = e12
| e10 = op1(e11,e13)
| e10 = op1(e11,e10)
| ~ spl144_380
| ~ spl144_385 ),
inference(duplicate_literal_removal,[],[f5456]) ).
fof(f5456,plain,
( e10 = e12
| e10 = e12
| e10 = op1(e11,e13)
| e10 = op1(e11,e10)
| ~ spl144_380
| ~ spl144_385 ),
inference(forward_demodulation,[],[f5259,f3377]) ).
fof(f12656,plain,
( ~ spl144_436
| ~ spl144_429
| spl144_457 ),
inference(avatar_split_clause,[],[f12043,f12006,f4520,f5298]) ).
fof(f12043,plain,
( e10 != op1(e11,e13)
| ~ spl144_429
| spl144_457 ),
inference(forward_demodulation,[],[f12007,f4522]) ).
fof(f12007,plain,
( e10 != op1(e11,op1(e11,e10))
| spl144_457 ),
inference(avatar_component_clause,[],[f12006]) ).
fof(f12643,plain,
( spl144_108
| ~ spl144_164
| ~ spl144_418 ),
inference(avatar_split_clause,[],[f10150,f4402,f2230,f1955]) ).
fof(f10150,plain,
( e21 = h1(e12)
| ~ spl144_164
| ~ spl144_418 ),
inference(superposition,[],[f2232,f4404]) ).
fof(f12640,plain,
( ~ spl144_520
| ~ spl144_108
| ~ spl144_168
| ~ spl144_348
| ~ spl144_352
| ~ spl144_359
| ~ spl144_404
| spl144_467 ),
inference(avatar_split_clause,[],[f12569,f12082,f3662,f3231,f3191,f3169,f2251,f1955,f12637]) ).
fof(f12082,plain,
( spl144_467
<=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_467])]) ).
fof(f12569,plain,
( h1(e10) != h4(op1(e11,e12))
| ~ spl144_108
| ~ spl144_168
| ~ spl144_348
| ~ spl144_352
| ~ spl144_359
| ~ spl144_404
| spl144_467 ),
inference(forward_demodulation,[],[f12152,f11541]) ).
fof(f12152,plain,
( op2(e21,e22) != h4(op1(e11,e12))
| ~ spl144_168
| ~ spl144_352
| spl144_467 ),
inference(forward_demodulation,[],[f12151,f3193]) ).
fof(f12151,plain,
( h4(op1(e11,e12)) != op2(h4(e11),e22)
| ~ spl144_168
| spl144_467 ),
inference(forward_demodulation,[],[f12084,f2253]) ).
fof(f12084,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| spl144_467 ),
inference(avatar_component_clause,[],[f12082]) ).
fof(f12634,plain,
( ~ spl144_519
| ~ spl144_168
| ~ spl144_258
| spl144_481 ),
inference(avatar_split_clause,[],[f12568,f12217,f2694,f2251,f12631]) ).
fof(f12217,plain,
( spl144_481
<=> h4(op1(e11,e12)) = op2(e23,h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_481])]) ).
fof(f12568,plain,
( e21 != h4(op1(e11,e12))
| ~ spl144_168
| ~ spl144_258
| spl144_481 ),
inference(forward_demodulation,[],[f12275,f2696]) ).
fof(f12275,plain,
( op2(e23,e22) != h4(op1(e11,e12))
| ~ spl144_168
| spl144_481 ),
inference(forward_demodulation,[],[f12219,f2253]) ).
fof(f12219,plain,
( h4(op1(e11,e12)) != op2(e23,h4(e12))
| spl144_481 ),
inference(avatar_component_clause,[],[f12217]) ).
fof(f12622,plain,
( ~ spl144_422
| ~ spl144_96
| ~ spl144_349
| ~ spl144_380
| ~ spl144_422
| spl144_505 ),
inference(avatar_split_clause,[],[f12612,f12416,f4467,f3375,f3174,f1901,f4467]) ).
fof(f12612,plain,
( e22 != op2(e22,e22)
| ~ spl144_96
| ~ spl144_349
| ~ spl144_380
| ~ spl144_422
| spl144_505 ),
inference(forward_demodulation,[],[f12611,f1902]) ).
fof(f12611,plain,
( op2(e22,e22) != h3(e12)
| ~ spl144_96
| ~ spl144_349
| ~ spl144_380
| ~ spl144_422
| spl144_505 ),
inference(forward_demodulation,[],[f12490,f3377]) ).
fof(f12490,plain,
( op2(e22,e22) != h3(op1(e11,e12))
| ~ spl144_96
| ~ spl144_349
| ~ spl144_422
| spl144_505 ),
inference(forward_demodulation,[],[f12489,f11749]) ).
fof(f12489,plain,
( h3(op1(e11,e12)) != op2(h3(e11),e22)
| ~ spl144_96
| spl144_505 ),
inference(forward_demodulation,[],[f12418,f1902]) ).
fof(f12418,plain,
( h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| spl144_505 ),
inference(avatar_component_clause,[],[f12416]) ).
fof(f12620,plain,
( ~ spl144_96
| ~ spl144_380
| spl144_518 ),
inference(avatar_split_clause,[],[f12610,f12606,f3375,f1901]) ).
fof(f12610,plain,
( e22 != h3(e12)
| ~ spl144_380
| spl144_518 ),
inference(forward_demodulation,[],[f12607,f3377]) ).
fof(f12607,plain,
( e22 != h3(op1(e11,e12))
| spl144_518 ),
inference(avatar_component_clause,[],[f12606]) ).
fof(f12609,plain,
( spl144_518
| ~ spl144_96
| ~ spl144_165
| ~ spl144_349
| ~ spl144_422
| ~ spl144_505 ),
inference(avatar_split_clause,[],[f12567,f12416,f4467,f3174,f2235,f1901,f12606]) ).
fof(f12567,plain,
( e22 = h3(op1(e11,e12))
| ~ spl144_96
| ~ spl144_165
| ~ spl144_349
| ~ spl144_422
| ~ spl144_505 ),
inference(forward_demodulation,[],[f12566,f1902]) ).
fof(f12566,plain,
( h3(e12) = h3(op1(e11,e12))
| ~ spl144_96
| ~ spl144_165
| ~ spl144_349
| ~ spl144_422
| ~ spl144_505 ),
inference(forward_demodulation,[],[f12536,f2237]) ).
fof(f12536,plain,
( op2(e22,e22) = h3(op1(e11,e12))
| ~ spl144_96
| ~ spl144_349
| ~ spl144_422
| ~ spl144_505 ),
inference(forward_demodulation,[],[f12535,f11749]) ).
fof(f12535,plain,
( h3(op1(e11,e12)) = op2(h3(e11),e22)
| ~ spl144_96
| ~ spl144_505 ),
inference(forward_demodulation,[],[f12417,f1902]) ).
fof(f12599,plain,
( spl144_517
| ~ spl144_96
| ~ spl144_165
| ~ spl144_168
| ~ spl144_471 ),
inference(avatar_split_clause,[],[f12562,f12098,f2251,f2235,f1901,f12596]) ).
fof(f12562,plain,
( e22 = h4(op1(e12,e12))
| ~ spl144_96
| ~ spl144_165
| ~ spl144_168
| ~ spl144_471 ),
inference(forward_demodulation,[],[f12561,f1902]) ).
fof(f12589,plain,
( spl144_516
| ~ spl144_96
| ~ spl144_165
| ~ spl144_509 ),
inference(avatar_split_clause,[],[f12560,f12432,f2235,f1901,f12586]) ).
fof(f12586,plain,
( spl144_516
<=> e22 = h3(op1(e12,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_516])]) ).
fof(f12560,plain,
( e22 = h3(op1(e12,e12))
| ~ spl144_96
| ~ spl144_165
| ~ spl144_509 ),
inference(forward_demodulation,[],[f12559,f1902]) ).
fof(f12559,plain,
( h3(e12) = h3(op1(e12,e12))
| ~ spl144_96
| ~ spl144_165
| ~ spl144_509 ),
inference(forward_demodulation,[],[f12519,f2237]) ).
fof(f12519,plain,
( op2(e22,e22) = h3(op1(e12,e12))
| ~ spl144_96
| ~ spl144_509 ),
inference(forward_demodulation,[],[f12433,f1902]) ).
fof(f12433,plain,
( h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
| ~ spl144_509 ),
inference(avatar_component_clause,[],[f12432]) ).
fof(f12552,plain,
( spl144_23
| ~ spl144_197
| ~ spl144_436 ),
inference(avatar_split_clause,[],[f12050,f5298,f2389,f1552]) ).
fof(f12050,plain,
( e10 = e11
| ~ spl144_197
| ~ spl144_436 ),
inference(superposition,[],[f5300,f2391]) ).
fof(f12547,plain,
( ~ spl144_422
| ~ spl144_30
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_429
| spl144_503 ),
inference(avatar_split_clause,[],[f12499,f12408,f4520,f4467,f3236,f3174,f1901,f1587,f4467]) ).
fof(f12499,plain,
( e22 != op2(e22,e22)
| ~ spl144_30
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_429
| spl144_503 ),
inference(forward_demodulation,[],[f12498,f1589]) ).
fof(f12498,plain,
( op2(e22,e22) != h3(e13)
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_429
| spl144_503 ),
inference(forward_demodulation,[],[f12497,f4522]) ).
fof(f12497,plain,
( op2(e22,e22) != h3(op1(e11,e10))
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| spl144_503 ),
inference(forward_demodulation,[],[f12496,f11749]) ).
fof(f12496,plain,
( h3(op1(e11,e10)) != op2(h3(e11),e22)
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| spl144_503 ),
inference(forward_demodulation,[],[f12410,f11751]) ).
fof(f12410,plain,
( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| spl144_503 ),
inference(avatar_component_clause,[],[f12408]) ).
fof(f12544,plain,
( ~ spl144_422
| ~ spl144_96
| ~ spl144_349
| ~ spl144_385
| ~ spl144_422
| spl144_504 ),
inference(avatar_split_clause,[],[f12495,f12412,f4467,f3411,f3174,f1901,f4467]) ).
fof(f12495,plain,
( e22 != op2(e22,e22)
| ~ spl144_96
| ~ spl144_349
| ~ spl144_385
| ~ spl144_422
| spl144_504 ),
inference(forward_demodulation,[],[f12494,f1902]) ).
fof(f12494,plain,
( op2(e22,e22) != h3(e12)
| ~ spl144_96
| ~ spl144_349
| ~ spl144_385
| ~ spl144_422
| spl144_504 ),
inference(forward_demodulation,[],[f12493,f3413]) ).
fof(f12493,plain,
( op2(e22,e22) != h3(op1(e11,e11))
| ~ spl144_96
| ~ spl144_349
| ~ spl144_422
| spl144_504 ),
inference(forward_demodulation,[],[f12414,f11749]) ).
fof(f12539,plain,
( ~ spl144_422
| ~ spl144_30
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_375
| ~ spl144_422
| spl144_501 ),
inference(avatar_split_clause,[],[f12506,f12400,f4467,f3343,f3236,f3174,f1901,f1587,f4467]) ).
fof(f12506,plain,
( e22 != op2(e22,e22)
| ~ spl144_30
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_375
| ~ spl144_422
| spl144_501 ),
inference(forward_demodulation,[],[f12505,f1589]) ).
fof(f12505,plain,
( op2(e22,e22) != h3(e13)
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_375
| ~ spl144_422
| spl144_501 ),
inference(forward_demodulation,[],[f12504,f3345]) ).
fof(f3345,plain,
( e13 = op1(e10,e12)
| ~ spl144_375 ),
inference(avatar_component_clause,[],[f3343]) ).
fof(f12504,plain,
( op2(e22,e22) != h3(op1(e10,e12))
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| spl144_501 ),
inference(forward_demodulation,[],[f12503,f11751]) ).
fof(f12503,plain,
( h3(op1(e10,e12)) != op2(h3(e10),e22)
| ~ spl144_96
| spl144_501 ),
inference(forward_demodulation,[],[f12402,f1902]) ).
fof(f12402,plain,
( h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| spl144_501 ),
inference(avatar_component_clause,[],[f12400]) ).
fof(f12534,plain,
( ~ spl144_422
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_431
| spl144_505 ),
inference(avatar_split_clause,[],[f12492,f12416,f5076,f4467,f3236,f3174,f1901,f4467]) ).
fof(f12492,plain,
( e22 != op2(e22,e22)
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_431
| spl144_505 ),
inference(forward_demodulation,[],[f12491,f11751]) ).
fof(f12491,plain,
( op2(e22,e22) != h3(e10)
| ~ spl144_96
| ~ spl144_349
| ~ spl144_422
| ~ spl144_431
| spl144_505 ),
inference(forward_demodulation,[],[f12490,f5078]) ).
fof(f12529,plain,
( ~ spl144_422
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_386
| ~ spl144_422
| spl144_500 ),
inference(avatar_split_clause,[],[f12510,f12396,f4467,f3418,f3236,f3174,f1901,f4467]) ).
fof(f12510,plain,
( e22 != op2(e22,e22)
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_386
| ~ spl144_422
| spl144_500 ),
inference(forward_demodulation,[],[f12509,f11749]) ).
fof(f12509,plain,
( op2(e22,e22) != h3(e11)
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_386
| ~ spl144_422
| spl144_500 ),
inference(forward_demodulation,[],[f12508,f3420]) ).
fof(f12508,plain,
( op2(e22,e22) != h3(op1(e10,e11))
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| spl144_500 ),
inference(forward_demodulation,[],[f12507,f11751]) ).
fof(f12507,plain,
( h3(op1(e10,e11)) != op2(h3(e10),e22)
| ~ spl144_96
| ~ spl144_349
| ~ spl144_422
| spl144_500 ),
inference(forward_demodulation,[],[f12398,f11749]) ).
fof(f12398,plain,
( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| spl144_500 ),
inference(avatar_component_clause,[],[f12396]) ).
fof(f12524,plain,
( ~ spl144_422
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_381
| ~ spl144_422
| spl144_507 ),
inference(avatar_split_clause,[],[f12485,f12424,f4467,f3387,f3236,f3174,f1901,f4467]) ).
fof(f12485,plain,
( e22 != op2(e22,e22)
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_381
| ~ spl144_422
| spl144_507 ),
inference(forward_demodulation,[],[f12484,f11749]) ).
fof(f12484,plain,
( op2(e22,e22) != h3(e11)
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_381
| ~ spl144_422
| spl144_507 ),
inference(forward_demodulation,[],[f12483,f3389]) ).
fof(f12521,plain,
( ~ spl144_422
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_426
| spl144_499 ),
inference(avatar_split_clause,[],[f12513,f12392,f4505,f4467,f3236,f3174,f1901,f4467]) ).
fof(f12513,plain,
( e22 != op2(e22,e22)
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_426
| spl144_499 ),
inference(forward_demodulation,[],[f12512,f1902]) ).
fof(f12512,plain,
( op2(e22,e22) != h3(e12)
| ~ spl144_96
| ~ spl144_349
| ~ spl144_360
| ~ spl144_422
| ~ spl144_426
| spl144_499 ),
inference(forward_demodulation,[],[f12511,f4507]) ).
fof(f12518,plain,
( ~ spl144_422
| ~ spl144_96
| ~ spl144_188
| spl144_509 ),
inference(avatar_split_clause,[],[f12477,f12432,f2346,f1901,f4467]) ).
fof(f12477,plain,
( e22 != op2(e22,e22)
| ~ spl144_96
| ~ spl144_188
| spl144_509 ),
inference(forward_demodulation,[],[f12476,f1902]) ).
fof(f12476,plain,
( op2(e22,e22) != h3(e12)
| ~ spl144_96
| ~ spl144_188
| spl144_509 ),
inference(forward_demodulation,[],[f12475,f2348]) ).
fof(f12475,plain,
( op2(e22,e22) != h3(op1(e12,e12))
| ~ spl144_96
| spl144_509 ),
inference(forward_demodulation,[],[f12434,f1902]) ).
fof(f12434,plain,
( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| spl144_509 ),
inference(avatar_component_clause,[],[f12432]) ).
fof(f12515,plain,
( ~ spl144_85
| ~ spl144_86
| ~ spl144_96
| spl144_514 ),
inference(avatar_split_clause,[],[f12462,f12452,f1901,f1855,f1850]) ).
fof(f12452,plain,
( spl144_514
<=> op2(e23,e23) = h3(op1(e13,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_514])]) ).
fof(f12462,plain,
( e22 != op2(e23,e23)
| ~ spl144_86
| ~ spl144_96
| spl144_514 ),
inference(forward_demodulation,[],[f12461,f1902]) ).
fof(f12461,plain,
( op2(e23,e23) != h3(e12)
| ~ spl144_86
| spl144_514 ),
inference(forward_demodulation,[],[f12454,f1857]) ).
fof(f12454,plain,
( op2(e23,e23) != h3(op1(e13,e13))
| spl144_514 ),
inference(avatar_component_clause,[],[f12452]) ).
fof(f12481,plain,
( ~ spl144_88
| ~ spl144_360
| spl144_508 ),
inference(avatar_contradiction_clause,[],[f12480]) ).
fof(f12480,plain,
( $false
| ~ spl144_88
| ~ spl144_360
| spl144_508 ),
inference(trivial_inequality_removal,[],[f12479]) ).
fof(f12479,plain,
( h3(e10) != h3(e10)
| ~ spl144_88
| ~ spl144_360
| spl144_508 ),
inference(forward_demodulation,[],[f12478,f1867]) ).
fof(f12478,plain,
( h3(e10) != h3(op1(e12,e11))
| ~ spl144_360
| spl144_508 ),
inference(forward_demodulation,[],[f12430,f3238]) ).
fof(f12430,plain,
( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| spl144_508 ),
inference(avatar_component_clause,[],[f12428]) ).
fof(f12459,plain,
( ~ spl144_499
| ~ spl144_500
| ~ spl144_501
| ~ spl144_502
| ~ spl144_503
| ~ spl144_504
| ~ spl144_505
| ~ spl144_506
| ~ spl144_507
| ~ spl144_508
| ~ spl144_509
| ~ spl144_510
| ~ spl144_511
| ~ spl144_512
| ~ spl144_513
| ~ spl144_514
| spl144_71
| spl144_69
| spl144_67
| ~ spl144_515 ),
inference(avatar_split_clause,[],[f1174,f12456,f1769,f1778,f1787,f12452,f12448,f12444,f12440,f12436,f12432,f12428,f12424,f12420,f12416,f12412,f12408,f12404,f12400,f12396,f12392]) ).
fof(f12440,plain,
( spl144_511
<=> h3(op1(e13,e10)) = op2(e23,h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_511])]) ).
fof(f12444,plain,
( spl144_512
<=> h3(op1(e13,e11)) = op2(e23,h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_512])]) ).
fof(f12448,plain,
( spl144_513
<=> h3(op1(e13,e12)) = op2(e23,h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_513])]) ).
fof(f12456,plain,
( spl144_515
<=> e23 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_515])]) ).
fof(f1174,plain,
( e23 != h3(e13)
| sP8
| sP7
| sP6
| op2(e23,e23) != h3(op1(e13,e13))
| h3(op1(e13,e12)) != op2(e23,h3(e12))
| h3(op1(e13,e11)) != op2(e23,h3(e11))
| h3(op1(e13,e10)) != op2(e23,h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),e23)
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),e23)
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),e23)
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(inner_rewriting,[],[f371]) ).
fof(f371,plain,
( e23 != h3(e13)
| sP8
| sP7
| sP6
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f12388,plain,
( ~ spl144_85
| ~ spl144_168
| ~ spl144_426
| spl144_489 ),
inference(avatar_split_clause,[],[f12378,f12308,f4505,f2251,f1850]) ).
fof(f12378,plain,
( e22 != op2(e23,e23)
| ~ spl144_168
| ~ spl144_426
| spl144_489 ),
inference(forward_demodulation,[],[f12377,f2253]) ).
fof(f12377,plain,
( op2(e23,e23) != h4(e12)
| ~ spl144_426
| spl144_489 ),
inference(forward_demodulation,[],[f12310,f4507]) ).
fof(f12384,plain,
( ~ spl144_393
| ~ spl144_168
| ~ spl144_352
| ~ spl144_381
| spl144_495 ),
inference(avatar_split_clause,[],[f12358,f12332,f3387,f3191,f2251,f3479]) ).
fof(f12358,plain,
( e21 != op2(e22,e23)
| ~ spl144_168
| ~ spl144_352
| ~ spl144_381
| spl144_495 ),
inference(forward_demodulation,[],[f12357,f3193]) ).
fof(f12357,plain,
( op2(e22,e23) != h4(e11)
| ~ spl144_168
| ~ spl144_381
| spl144_495 ),
inference(forward_demodulation,[],[f12356,f3389]) ).
fof(f12356,plain,
( op2(e22,e23) != h4(op1(e12,e10))
| ~ spl144_168
| spl144_495 ),
inference(forward_demodulation,[],[f12334,f2253]) ).
fof(f12379,plain,
( ~ spl144_368
| ~ spl144_32
| ~ spl144_180
| ~ spl144_352
| spl144_497 ),
inference(avatar_split_clause,[],[f12352,f12340,f3191,f2308,f1597,f3291]) ).
fof(f12352,plain,
( e23 != op2(e23,e21)
| ~ spl144_32
| ~ spl144_180
| ~ spl144_352
| spl144_497 ),
inference(forward_demodulation,[],[f12351,f1599]) ).
fof(f12351,plain,
( op2(e23,e21) != h4(e13)
| ~ spl144_32
| ~ spl144_180
| ~ spl144_352
| spl144_497 ),
inference(forward_demodulation,[],[f12350,f2310]) ).
fof(f12350,plain,
( op2(e23,e21) != h4(op1(e13,e11))
| ~ spl144_32
| ~ spl144_352
| spl144_497 ),
inference(forward_demodulation,[],[f12349,f1599]) ).
fof(f12349,plain,
( h4(op1(e13,e11)) != op2(h4(e13),e21)
| ~ spl144_352
| spl144_497 ),
inference(forward_demodulation,[],[f12342,f3193]) ).
fof(f12342,plain,
( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| spl144_497 ),
inference(avatar_component_clause,[],[f12340]) ).
fof(f12347,plain,
( ~ spl144_489
| ~ spl144_490
| ~ spl144_491
| ~ spl144_492
| ~ spl144_493
| ~ spl144_466
| ~ spl144_467
| ~ spl144_494
| ~ spl144_495
| ~ spl144_470
| ~ spl144_471
| ~ spl144_484
| ~ spl144_496
| ~ spl144_497
| ~ spl144_487
| ~ spl144_488
| spl144_65
| spl144_63
| spl144_61
| ~ spl144_498 ),
inference(avatar_split_clause,[],[f1173,f12344,f1742,f1751,f1760,f12245,f12241,f12340,f12336,f12229,f12098,f12094,f12332,f12328,f12082,f12078,f12324,f12320,f12316,f12312,f12308]) ).
fof(f12094,plain,
( spl144_470
<=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_470])]) ).
fof(f12336,plain,
( spl144_496
<=> h4(op1(e13,e10)) = op2(h4(e13),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_496])]) ).
fof(f12241,plain,
( spl144_487
<=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_487])]) ).
fof(f12245,plain,
( spl144_488
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_488])]) ).
fof(f1760,plain,
( spl144_65
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_65])]) ).
fof(f12344,plain,
( spl144_498
<=> e23 = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_498])]) ).
fof(f1173,plain,
( e23 != h4(e10)
| sP11
| sP10
| sP9
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),e23)
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),e23)
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),e23)
| h4(op1(e10,e13)) != op2(e23,h4(e13))
| h4(op1(e10,e12)) != op2(e23,h4(e12))
| h4(op1(e10,e11)) != op2(e23,h4(e11))
| op2(e23,e23) != h4(op1(e10,e10)) ),
inference(inner_rewriting,[],[f372]) ).
fof(f372,plain,
( e23 != h4(e10)
| sP11
| sP10
| sP9
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f12304,plain,
( ~ spl144_85
| ~ spl144_168
| ~ spl144_385
| spl144_480 ),
inference(avatar_split_clause,[],[f12279,f12213,f3411,f2251,f1850]) ).
fof(f12279,plain,
( e22 != op2(e23,e23)
| ~ spl144_168
| ~ spl144_385
| spl144_480 ),
inference(forward_demodulation,[],[f12278,f2253]) ).
fof(f12278,plain,
( op2(e23,e23) != h4(e12)
| ~ spl144_385
| spl144_480 ),
inference(forward_demodulation,[],[f12215,f3413]) ).
fof(f12299,plain,
( ~ spl144_446
| ~ spl144_32
| ~ spl144_66
| ~ spl144_373
| spl144_485 ),
inference(avatar_split_clause,[],[f12263,f12233,f3327,f1764,f1597,f8434]) ).
fof(f12263,plain,
( e20 != op2(e23,e20)
| ~ spl144_32
| ~ spl144_66
| ~ spl144_373
| spl144_485 ),
inference(forward_demodulation,[],[f12262,f1765]) ).
fof(f12262,plain,
( op2(e23,e20) != h4(e10)
| ~ spl144_32
| ~ spl144_66
| ~ spl144_373
| spl144_485 ),
inference(forward_demodulation,[],[f12261,f3329]) ).
fof(f12261,plain,
( op2(e23,e20) != h4(op1(e13,e10))
| ~ spl144_32
| ~ spl144_66
| spl144_485 ),
inference(forward_demodulation,[],[f12260,f1599]) ).
fof(f12260,plain,
( h4(op1(e13,e10)) != op2(h4(e13),e20)
| ~ spl144_66
| spl144_485 ),
inference(forward_demodulation,[],[f12235,f1765]) ).
fof(f12235,plain,
( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| spl144_485 ),
inference(avatar_component_clause,[],[f12233]) ).
fof(f12294,plain,
( ~ spl144_258
| ~ spl144_32
| ~ spl144_87
| ~ spl144_168
| ~ spl144_352
| spl144_487 ),
inference(avatar_split_clause,[],[f12255,f12241,f3191,f2251,f1860,f1597,f2694]) ).
fof(f12255,plain,
( e21 != op2(e23,e22)
| ~ spl144_32
| ~ spl144_87
| ~ spl144_168
| ~ spl144_352
| spl144_487 ),
inference(forward_demodulation,[],[f12254,f3193]) ).
fof(f12254,plain,
( op2(e23,e22) != h4(e11)
| ~ spl144_32
| ~ spl144_87
| ~ spl144_168
| spl144_487 ),
inference(forward_demodulation,[],[f12253,f1862]) ).
fof(f12253,plain,
( op2(e23,e22) != h4(op1(e13,e12))
| ~ spl144_32
| ~ spl144_168
| spl144_487 ),
inference(forward_demodulation,[],[f12252,f1599]) ).
fof(f12252,plain,
( h4(op1(e13,e12)) != op2(h4(e13),e22)
| ~ spl144_168
| spl144_487 ),
inference(forward_demodulation,[],[f12243,f2253]) ).
fof(f12243,plain,
( h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| spl144_487 ),
inference(avatar_component_clause,[],[f12241]) ).
fof(f12290,plain,
( ~ spl144_85
| ~ spl144_32
| ~ spl144_86
| ~ spl144_168
| spl144_488 ),
inference(avatar_split_clause,[],[f12251,f12245,f2251,f1855,f1597,f1850]) ).
fof(f12251,plain,
( e22 != op2(e23,e23)
| ~ spl144_32
| ~ spl144_86
| ~ spl144_168
| spl144_488 ),
inference(forward_demodulation,[],[f12250,f2253]) ).
fof(f12250,plain,
( op2(e23,e23) != h4(e12)
| ~ spl144_32
| ~ spl144_86
| spl144_488 ),
inference(forward_demodulation,[],[f12249,f1857]) ).
fof(f12249,plain,
( op2(e23,e23) != h4(op1(e13,e13))
| ~ spl144_32
| spl144_488 ),
inference(forward_demodulation,[],[f12247,f1599]) ).
fof(f12247,plain,
( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| spl144_488 ),
inference(avatar_component_clause,[],[f12245]) ).
fof(f12248,plain,
( ~ spl144_461
| ~ spl144_477
| ~ spl144_463
| ~ spl144_478
| ~ spl144_479
| ~ spl144_480
| ~ spl144_481
| ~ spl144_482
| ~ spl144_469
| ~ spl144_483
| ~ spl144_471
| ~ spl144_484
| ~ spl144_485
| ~ spl144_486
| ~ spl144_487
| ~ spl144_488
| spl144_65
| spl144_63
| spl144_61
| ~ spl144_435 ),
inference(avatar_split_clause,[],[f1172,f5107,f1742,f1751,f1760,f12245,f12241,f12237,f12233,f12229,f12098,f12225,f12090,f12221,f12217,f12213,f12209,f12205,f12066,f12201,f12058]) ).
fof(f12201,plain,
( spl144_477
<=> h4(op1(e10,e11)) = op2(h4(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_477])]) ).
fof(f12225,plain,
( spl144_483
<=> h4(op1(e12,e11)) = op2(h4(e12),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_483])]) ).
fof(f12237,plain,
( spl144_486
<=> h4(op1(e13,e11)) = op2(h4(e13),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_486])]) ).
fof(f5107,plain,
( spl144_435
<=> e23 = h4(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_435])]) ).
fof(f1172,plain,
( e23 != h4(e11)
| sP11
| sP10
| sP9
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),e23)
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),e23)
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(e23,h4(e13))
| h4(op1(e11,e12)) != op2(e23,h4(e12))
| op2(e23,e23) != h4(op1(e11,e11))
| h4(op1(e11,e10)) != op2(e23,h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),e23)
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(inner_rewriting,[],[f373]) ).
fof(f373,plain,
( e23 != h4(e11)
| sP11
| sP10
| sP9
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f12195,plain,
( ~ spl144_354
| ~ spl144_66
| ~ spl144_88
| ~ spl144_168
| ~ spl144_352
| spl144_470 ),
inference(avatar_split_clause,[],[f12143,f12094,f3191,f2251,f1865,f1764,f3203]) ).
fof(f12143,plain,
( e20 != op2(e22,e21)
| ~ spl144_66
| ~ spl144_88
| ~ spl144_168
| ~ spl144_352
| spl144_470 ),
inference(forward_demodulation,[],[f12142,f1765]) ).
fof(f12142,plain,
( op2(e22,e21) != h4(e10)
| ~ spl144_88
| ~ spl144_168
| ~ spl144_352
| spl144_470 ),
inference(forward_demodulation,[],[f12141,f1867]) ).
fof(f12141,plain,
( op2(e22,e21) != h4(op1(e12,e11))
| ~ spl144_168
| ~ spl144_352
| spl144_470 ),
inference(forward_demodulation,[],[f12140,f2253]) ).
fof(f12140,plain,
( h4(op1(e12,e11)) != op2(h4(e12),e21)
| ~ spl144_352
| spl144_470 ),
inference(forward_demodulation,[],[f12096,f3193]) ).
fof(f12096,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| spl144_470 ),
inference(avatar_component_clause,[],[f12094]) ).
fof(f12191,plain,
( ~ spl144_422
| ~ spl144_168
| ~ spl144_188
| spl144_471 ),
inference(avatar_split_clause,[],[f12139,f12098,f2346,f2251,f4467]) ).
fof(f12139,plain,
( e22 != op2(e22,e22)
| ~ spl144_168
| ~ spl144_188
| spl144_471 ),
inference(forward_demodulation,[],[f12138,f2253]) ).
fof(f12138,plain,
( op2(e22,e22) != h4(e12)
| ~ spl144_168
| ~ spl144_188
| spl144_471 ),
inference(forward_demodulation,[],[f12137,f2348]) ).
fof(f12137,plain,
( op2(e22,e22) != h4(op1(e12,e12))
| ~ spl144_168
| spl144_471 ),
inference(forward_demodulation,[],[f12100,f2253]) ).
fof(f12100,plain,
( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| spl144_471 ),
inference(avatar_component_clause,[],[f12098]) ).
fof(f12187,plain,
( ~ spl144_446
| ~ spl144_66
| ~ spl144_373
| spl144_473 ),
inference(avatar_split_clause,[],[f12132,f12106,f3327,f1764,f8434]) ).
fof(f12132,plain,
( e20 != op2(e23,e20)
| ~ spl144_66
| ~ spl144_373
| spl144_473 ),
inference(forward_demodulation,[],[f12131,f1765]) ).
fof(f12131,plain,
( op2(e23,e20) != h4(e10)
| ~ spl144_66
| ~ spl144_373
| spl144_473 ),
inference(forward_demodulation,[],[f12130,f3329]) ).
fof(f12130,plain,
( op2(e23,e20) != h4(op1(e13,e10))
| ~ spl144_66
| spl144_473 ),
inference(forward_demodulation,[],[f12108,f1765]) ).
fof(f12183,plain,
( ~ spl144_368
| ~ spl144_32
| ~ spl144_180
| ~ spl144_352
| spl144_474 ),
inference(avatar_split_clause,[],[f12129,f12110,f3191,f2308,f1597,f3291]) ).
fof(f12129,plain,
( e23 != op2(e23,e21)
| ~ spl144_32
| ~ spl144_180
| ~ spl144_352
| spl144_474 ),
inference(forward_demodulation,[],[f12128,f1599]) ).
fof(f12128,plain,
( op2(e23,e21) != h4(e13)
| ~ spl144_180
| ~ spl144_352
| spl144_474 ),
inference(forward_demodulation,[],[f12127,f2310]) ).
fof(f12127,plain,
( op2(e23,e21) != h4(op1(e13,e11))
| ~ spl144_352
| spl144_474 ),
inference(forward_demodulation,[],[f12112,f3193]) ).
fof(f12112,plain,
( h4(op1(e13,e11)) != op2(e23,h4(e11))
| spl144_474 ),
inference(avatar_component_clause,[],[f12110]) ).
fof(f12179,plain,
( ~ spl144_258
| ~ spl144_87
| ~ spl144_168
| ~ spl144_352
| spl144_475 ),
inference(avatar_split_clause,[],[f12126,f12114,f3191,f2251,f1860,f2694]) ).
fof(f12114,plain,
( spl144_475
<=> h4(op1(e13,e12)) = op2(e23,h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_475])]) ).
fof(f12126,plain,
( e21 != op2(e23,e22)
| ~ spl144_87
| ~ spl144_168
| ~ spl144_352
| spl144_475 ),
inference(forward_demodulation,[],[f12125,f3193]) ).
fof(f12125,plain,
( op2(e23,e22) != h4(e11)
| ~ spl144_87
| ~ spl144_168
| spl144_475 ),
inference(forward_demodulation,[],[f12124,f1862]) ).
fof(f12124,plain,
( op2(e23,e22) != h4(op1(e13,e12))
| ~ spl144_168
| spl144_475 ),
inference(forward_demodulation,[],[f12116,f2253]) ).
fof(f12116,plain,
( h4(op1(e13,e12)) != op2(e23,h4(e12))
| spl144_475 ),
inference(avatar_component_clause,[],[f12114]) ).
fof(f12176,plain,
( ~ spl144_85
| ~ spl144_86
| ~ spl144_168
| spl144_476 ),
inference(avatar_split_clause,[],[f12123,f12118,f2251,f1855,f1850]) ).
fof(f12118,plain,
( spl144_476
<=> op2(e23,e23) = h4(op1(e13,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_476])]) ).
fof(f12123,plain,
( e22 != op2(e23,e23)
| ~ spl144_86
| ~ spl144_168
| spl144_476 ),
inference(forward_demodulation,[],[f12122,f2253]) ).
fof(f12122,plain,
( op2(e23,e23) != h4(e12)
| ~ spl144_86
| spl144_476 ),
inference(forward_demodulation,[],[f12120,f1857]) ).
fof(f12120,plain,
( op2(e23,e23) != h4(op1(e13,e13))
| spl144_476 ),
inference(avatar_component_clause,[],[f12118]) ).
fof(f12121,plain,
( ~ spl144_461
| ~ spl144_462
| ~ spl144_463
| ~ spl144_464
| ~ spl144_465
| ~ spl144_466
| ~ spl144_467
| ~ spl144_468
| ~ spl144_469
| ~ spl144_470
| ~ spl144_471
| ~ spl144_472
| ~ spl144_473
| ~ spl144_474
| ~ spl144_475
| ~ spl144_476
| spl144_65
| spl144_63
| spl144_61
| ~ spl144_32 ),
inference(avatar_split_clause,[],[f1170,f1597,f1742,f1751,f1760,f12118,f12114,f12110,f12106,f12102,f12098,f12094,f12090,f12086,f12082,f12078,f12074,f12070,f12066,f12062,f12058]) ).
fof(f1170,plain,
( e23 != h4(e13)
| sP11
| sP10
| sP9
| op2(e23,e23) != h4(op1(e13,e13))
| h4(op1(e13,e12)) != op2(e23,h4(e12))
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e13,e10)) != op2(e23,h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),e23)
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(inner_rewriting,[],[f375]) ).
fof(f375,plain,
( e23 != h4(e13)
| sP11
| sP10
| sP9
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f12049,plain,
( spl144_436
| ~ spl144_429
| ~ spl144_457 ),
inference(avatar_split_clause,[],[f12039,f12006,f4520,f5298]) ).
fof(f12044,plain,
( spl144_28
| ~ spl144_197
| ~ spl144_385
| ~ spl144_460 ),
inference(avatar_split_clause,[],[f12042,f12018,f3411,f2389,f1577]) ).
fof(f12042,plain,
( e12 = e13
| ~ spl144_197
| ~ spl144_385
| ~ spl144_460 ),
inference(forward_demodulation,[],[f12041,f3413]) ).
fof(f12041,plain,
( e13 = op1(e11,e11)
| ~ spl144_197
| ~ spl144_460 ),
inference(forward_demodulation,[],[f12020,f2391]) ).
fof(f12040,plain,
( spl144_436
| ~ spl144_429
| ~ spl144_457 ),
inference(avatar_split_clause,[],[f12039,f12006,f4520,f5298]) ).
fof(f12037,plain,
( spl144_427
| ~ spl144_431
| ~ spl144_459 ),
inference(avatar_split_clause,[],[f12028,f12014,f5076,f4509]) ).
fof(f12028,plain,
( e12 = op1(e11,e10)
| ~ spl144_431
| ~ spl144_459 ),
inference(forward_demodulation,[],[f12016,f5078]) ).
fof(f12030,plain,
( spl144_443
| ~ spl144_108
| ~ spl144_348
| ~ spl144_404 ),
inference(avatar_split_clause,[],[f10024,f3662,f3169,f1955,f6907]) ).
fof(f12027,plain,
( spl144_23
| ~ spl144_385
| ~ spl144_431
| ~ spl144_458 ),
inference(avatar_split_clause,[],[f12025,f12010,f5076,f3411,f1552]) ).
fof(f12025,plain,
( e10 = e11
| ~ spl144_385
| ~ spl144_431
| ~ spl144_458 ),
inference(forward_demodulation,[],[f12024,f5078]) ).
fof(f12021,plain,
( spl144_457
| spl144_458
| spl144_459
| spl144_460 ),
inference(avatar_split_clause,[],[f1163,f12018,f12014,f12010,f12006]) ).
fof(f1163,plain,
( e13 = op1(e11,op1(e11,e13))
| e12 = op1(e11,op1(e11,e12))
| e11 = op1(e11,op1(e11,e11))
| e10 = op1(e11,op1(e11,e10)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f12000,plain,
( spl144_27
| spl144_25
| spl144_28
| ~ spl144_197
| ~ spl144_385
| ~ spl144_427
| ~ spl144_431 ),
inference(avatar_split_clause,[],[f11942,f5076,f4509,f3411,f2389,f1577,f1562,f1572]) ).
fof(f11942,plain,
( e12 = e13
| e10 = e13
| e11 = e13
| ~ spl144_197
| ~ spl144_385
| ~ spl144_427
| ~ spl144_431 ),
inference(duplicate_literal_removal,[],[f11941]) ).
fof(f11941,plain,
( e12 = e13
| e12 = e13
| e10 = e13
| e11 = e13
| ~ spl144_197
| ~ spl144_385
| ~ spl144_427
| ~ spl144_431 ),
inference(forward_demodulation,[],[f11940,f4511]) ).
fof(f11940,plain,
( e12 = e13
| e10 = e13
| e11 = e13
| e13 = op1(e11,e10)
| ~ spl144_197
| ~ spl144_385
| ~ spl144_431 ),
inference(forward_demodulation,[],[f11939,f3413]) ).
fof(f11939,plain,
( e10 = e13
| e11 = e13
| e13 = op1(e11,e11)
| e13 = op1(e11,e10)
| ~ spl144_197
| ~ spl144_431 ),
inference(forward_demodulation,[],[f11938,f5078]) ).
fof(f11988,plain,
( spl144_96
| ~ spl144_165
| ~ spl144_422 ),
inference(avatar_split_clause,[],[f8139,f4467,f2235,f1901]) ).
fof(f8139,plain,
( e22 = h3(e12)
| ~ spl144_165
| ~ spl144_422 ),
inference(superposition,[],[f2237,f4469]) ).
fof(f11949,plain,
( spl144_27
| ~ spl144_372
| ~ spl144_382 ),
inference(avatar_split_clause,[],[f4659,f3391,f3317,f1572]) ).
fof(f4659,plain,
( e11 = e13
| ~ spl144_372
| ~ spl144_382 ),
inference(forward_demodulation,[],[f3319,f3393]) ).
fof(f11886,plain,
( spl144_201
| ~ spl144_197
| ~ spl144_371 ),
inference(avatar_split_clause,[],[f11878,f3313,f2389,f2408]) ).
fof(f11878,plain,
( e11 = op1(e11,e11)
| ~ spl144_197
| ~ spl144_371 ),
inference(forward_demodulation,[],[f2391,f5276]) ).
fof(f5276,plain,
( e11 = e13
| ~ spl144_197
| ~ spl144_371 ),
inference(superposition,[],[f2391,f3315]) ).
fof(f11854,plain,
( spl144_276
| ~ spl144_384
| ~ spl144_454 ),
inference(avatar_split_clause,[],[f11853,f11827,f3407,f2791]) ).
fof(f2791,plain,
( spl144_276
<=> e11 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_276])]) ).
fof(f11827,plain,
( spl144_454
<=> e11 = op1(e10,op1(e10,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_454])]) ).
fof(f11853,plain,
( e11 = op1(e10,e12)
| ~ spl144_384
| ~ spl144_454 ),
inference(forward_demodulation,[],[f11829,f3409]) ).
fof(f11829,plain,
( e11 = op1(e10,op1(e10,e11))
| ~ spl144_454 ),
inference(avatar_component_clause,[],[f11827]) ).
fof(f11851,plain,
( spl144_27
| ~ spl144_209
| ~ spl144_424
| ~ spl144_456 ),
inference(avatar_split_clause,[],[f11849,f11835,f4494,f2446,f1572]) ).
fof(f11849,plain,
( e11 = e13
| ~ spl144_209
| ~ spl144_424
| ~ spl144_456 ),
inference(forward_demodulation,[],[f11848,f4496]) ).
fof(f11847,plain,
( spl144_24
| ~ spl144_209
| ~ spl144_375
| ~ spl144_455 ),
inference(avatar_split_clause,[],[f11845,f11831,f3343,f2446,f1557]) ).
fof(f11845,plain,
( e10 = e12
| ~ spl144_209
| ~ spl144_375
| ~ spl144_455 ),
inference(forward_demodulation,[],[f11844,f2448]) ).
fof(f11844,plain,
( e12 = op1(e10,e13)
| ~ spl144_375
| ~ spl144_455 ),
inference(forward_demodulation,[],[f11833,f3345]) ).
fof(f11843,plain,
( spl144_218
| ~ spl144_424
| ~ spl144_453 ),
inference(avatar_split_clause,[],[f11842,f11823,f4494,f2489]) ).
fof(f2489,plain,
( spl144_218
<=> e10 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_218])]) ).
fof(f11842,plain,
( e10 = op1(e10,e11)
| ~ spl144_424
| ~ spl144_453 ),
inference(forward_demodulation,[],[f11825,f4496]) ).
fof(f11838,plain,
( spl144_453
| spl144_454
| spl144_455
| spl144_456 ),
inference(avatar_split_clause,[],[f1162,f11835,f11831,f11827,f11823]) ).
fof(f1162,plain,
( e13 = op1(e10,op1(e10,e13))
| e12 = op1(e10,op1(e10,e12))
| e11 = op1(e10,op1(e10,e11))
| e10 = op1(e10,op1(e10,e10)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f11818,plain,
( spl144_450
| spl144_451
| spl144_452
| spl144_441 ),
inference(avatar_split_clause,[],[f1384,f6748,f11815,f11811,f11807]) ).
fof(f11807,plain,
( spl144_450
<=> e21 = op2(e20,op2(e20,e21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_450])]) ).
fof(f11811,plain,
( spl144_451
<=> e22 = op2(e20,op2(e20,e22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_451])]) ).
fof(f11815,plain,
( spl144_452
<=> e23 = op2(e20,op2(e20,e23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_452])]) ).
fof(f6748,plain,
( spl144_441
<=> e20 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_441])]) ).
fof(f1384,plain,
( e20 = h1(e11)
| e23 = op2(e20,op2(e20,e23))
| e22 = op2(e20,op2(e20,e22))
| e21 = op2(e20,op2(e20,e21)) ),
inference(forward_demodulation,[],[f1383,f1186]) ).
fof(f1186,plain,
h1(e11) = op2(e20,h1(e12)),
inference(forward_demodulation,[],[f406,f407]) ).
fof(f407,plain,
op2(e20,e20) = h1(e12),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
( op2(e20,e20) = h1(e12)
& op2(e20,op2(e20,e20)) = h1(e11)
& h1(e10) = op2(op2(e20,e20),op2(e20,op2(e20,e20)))
& e20 = h1(e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f406,plain,
op2(e20,op2(e20,e20)) = h1(e11),
inference(cnf_transformation,[],[f14]) ).
fof(f1383,plain,
( e20 = op2(e20,h1(e12))
| e23 = op2(e20,op2(e20,e23))
| e22 = op2(e20,op2(e20,e22))
| e21 = op2(e20,op2(e20,e21)) ),
inference(forward_demodulation,[],[f886,f407]) ).
fof(f886,plain,
( e23 = op2(e20,op2(e20,e23))
| e22 = op2(e20,op2(e20,e22))
| e21 = op2(e20,op2(e20,e21))
| e20 = op2(e20,op2(e20,e20)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f11804,plain,
( ~ spl144_449
| ~ spl144_180
| spl144_448 ),
inference(avatar_split_clause,[],[f11798,f11794,f2308,f11801]) ).
fof(f11798,plain,
( e11 != op1(e13,e13)
| ~ spl144_180
| spl144_448 ),
inference(forward_demodulation,[],[f11795,f2310]) ).
fof(f11795,plain,
( e11 != op1(e13,op1(e13,e11))
| spl144_448 ),
inference(avatar_component_clause,[],[f11794]) ).
fof(f11797,plain,
( spl144_447
| spl144_448
| spl144_27
| spl144_319 ),
inference(avatar_split_clause,[],[f1438,f3018,f1572,f11794,f11790]) ).
fof(f11790,plain,
( spl144_447
<=> e10 = op1(e13,op1(e13,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_447])]) ).
fof(f3018,plain,
( spl144_319
<=> e12 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_319])]) ).
fof(f1438,plain,
( e12 = op1(e13,e11)
| e11 = e13
| e11 = op1(e13,op1(e13,e11))
| e10 = op1(e13,op1(e13,e10)) ),
inference(forward_demodulation,[],[f1437,f1225]) ).
fof(f1437,plain,
( e11 = e13
| e12 = op1(e13,op1(e13,e12))
| e11 = op1(e13,op1(e13,e11))
| e10 = op1(e13,op1(e13,e10)) ),
inference(forward_demodulation,[],[f1436,f1225]) ).
fof(f1436,plain,
( e13 = op1(e13,e12)
| e12 = op1(e13,op1(e13,e12))
| e11 = op1(e13,op1(e13,e11))
| e10 = op1(e13,op1(e13,e10)) ),
inference(forward_demodulation,[],[f1165,f521]) ).
fof(f1165,plain,
( e13 = op1(e13,op1(e13,e13))
| e12 = op1(e13,op1(e13,e12))
| e11 = op1(e13,op1(e13,e11))
| e10 = op1(e13,op1(e13,e10)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f11779,plain,
( spl144_402
| spl144_5
| spl144_3
| spl144_6
| ~ spl144_108
| ~ spl144_407
| ~ spl144_446 ),
inference(avatar_split_clause,[],[f11534,f8434,f3705,f1955,f1467,f1452,f1462,f3649]) ).
fof(f11534,plain,
( e22 = e23
| e20 = e23
| e21 = e23
| e23 = op2(e22,e20)
| ~ spl144_108
| ~ spl144_407
| ~ spl144_446 ),
inference(forward_demodulation,[],[f11533,f3707]) ).
fof(f11533,plain,
( e20 = e23
| e21 = e23
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| ~ spl144_108
| ~ spl144_446 ),
inference(forward_demodulation,[],[f10065,f8436]) ).
fof(f10065,plain,
( e21 = e23
| e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| ~ spl144_108 ),
inference(forward_demodulation,[],[f1246,f1957]) ).
fof(f1246,plain,
( e23 = h1(e12)
| e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20) ),
inference(forward_demodulation,[],[f529,f407]) ).
fof(f529,plain,
( e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f11774,plain,
( ~ spl144_90
| ~ spl144_165
| spl144_423 ),
inference(avatar_split_clause,[],[f4482,f4471,f2235,f1874]) ).
fof(f1874,plain,
( spl144_90
<=> e23 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_90])]) ).
fof(f4471,plain,
( spl144_423
<=> e23 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_423])]) ).
fof(f4482,plain,
( e23 != h3(e12)
| ~ spl144_165
| spl144_423 ),
inference(superposition,[],[f4472,f2237]) ).
fof(f4472,plain,
( e23 != op2(e22,e22)
| spl144_423 ),
inference(avatar_component_clause,[],[f4471]) ).
fof(f11618,plain,
( spl144_5
| spl144_3
| spl144_6
| ~ spl144_106
| ~ spl144_390
| ~ spl144_407
| ~ spl144_410 ),
inference(avatar_split_clause,[],[f11545,f4014,f3705,f3460,f1946,f1467,f1452,f1462]) ).
fof(f3460,plain,
( spl144_390
<=> e22 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_390])]) ).
fof(f11545,plain,
( e22 = e23
| e20 = e23
| e21 = e23
| ~ spl144_106
| ~ spl144_390
| ~ spl144_407
| ~ spl144_410 ),
inference(duplicate_literal_removal,[],[f11544]) ).
fof(f11544,plain,
( e22 = e23
| e22 = e23
| e20 = e23
| e21 = e23
| ~ spl144_106
| ~ spl144_390
| ~ spl144_407
| ~ spl144_410 ),
inference(forward_demodulation,[],[f11543,f3707]) ).
fof(f11543,plain,
( e22 = e23
| e20 = e23
| e21 = e23
| e23 = op2(e21,e20)
| ~ spl144_106
| ~ spl144_390
| ~ spl144_410 ),
inference(forward_demodulation,[],[f9268,f3462]) ).
fof(f3462,plain,
( e22 = op2(e21,e22)
| ~ spl144_390 ),
inference(avatar_component_clause,[],[f3460]) ).
fof(f9268,plain,
( e20 = e23
| e21 = e23
| e23 = op2(e21,e22)
| e23 = op2(e21,e20)
| ~ spl144_106
| ~ spl144_410 ),
inference(forward_demodulation,[],[f9267,f4016]) ).
fof(f9267,plain,
( e21 = e23
| e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e20)
| ~ spl144_106 ),
inference(forward_demodulation,[],[f1239,f1947]) ).
fof(f1239,plain,
( e23 = h2(e12)
| e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e20) ),
inference(forward_demodulation,[],[f536,f415]) ).
fof(f536,plain,
( e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f11617,plain,
( ~ spl144_356
| ~ spl144_174 ),
inference(avatar_split_clause,[],[f870,f2281,f3217]) ).
fof(f3217,plain,
( spl144_356
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_356])]) ).
fof(f870,plain,
( e20 != op2(e20,e22)
| ~ sP14 ),
inference(cnf_transformation,[],[f243]) ).
fof(f243,plain,
( ( e23 != op2(e23,e22)
& e22 != op2(e22,e22)
& e21 != op2(e21,e22)
& e20 != op2(e20,e22) )
| ~ sP14 ),
inference(nnf_transformation,[],[f36]) ).
fof(f11601,plain,
( spl144_106
| ~ spl144_166
| ~ spl144_395 ),
inference(avatar_split_clause,[],[f9301,f3500,f2240,f1946]) ).
fof(f9301,plain,
( e21 = h2(e12)
| ~ spl144_166
| ~ spl144_395 ),
inference(superposition,[],[f2242,f3501]) ).
fof(f11567,plain,
( ~ spl144_98
| ~ spl144_166
| spl144_420 ),
inference(avatar_split_clause,[],[f6775,f4418,f2240,f1910]) ).
fof(f1910,plain,
( spl144_98
<=> e22 = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_98])]) ).
fof(f4418,plain,
( spl144_420
<=> e22 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_420])]) ).
fof(f6775,plain,
( e22 != h2(e12)
| ~ spl144_166
| spl144_420 ),
inference(superposition,[],[f4419,f2242]) ).
fof(f4419,plain,
( e22 != op2(e21,e21)
| spl144_420 ),
inference(avatar_component_clause,[],[f4418]) ).
fof(f11494,plain,
( spl144_3
| spl144_4
| spl144_421
| ~ spl144_90
| ~ spl144_349
| ~ spl144_354
| ~ spl144_393
| ~ spl144_408 ),
inference(avatar_split_clause,[],[f11444,f3709,f3479,f3203,f3174,f1874,f4463,f1457,f1452]) ).
fof(f4463,plain,
( spl144_421
<=> e20 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_421])]) ).
fof(f3709,plain,
( spl144_408
<=> e22 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_408])]) ).
fof(f11444,plain,
( e20 = op2(e22,e22)
| e21 = e22
| e20 = e23
| ~ spl144_90
| ~ spl144_349
| ~ spl144_354
| ~ spl144_393
| ~ spl144_408 ),
inference(forward_demodulation,[],[f11443,f3711]) ).
fof(f3711,plain,
( e22 = op2(e22,e20)
| ~ spl144_408 ),
inference(avatar_component_clause,[],[f3709]) ).
fof(f11443,plain,
( e21 = e22
| e20 = e23
| e20 = op2(e22,op2(e22,e20))
| ~ spl144_90
| ~ spl144_349
| ~ spl144_354
| ~ spl144_393
| ~ spl144_408 ),
inference(duplicate_literal_removal,[],[f11442]) ).
fof(f11442,plain,
( e21 = e22
| e21 = e22
| e20 = e23
| e20 = op2(e22,op2(e22,e20))
| ~ spl144_90
| ~ spl144_349
| ~ spl144_354
| ~ spl144_393
| ~ spl144_408 ),
inference(forward_demodulation,[],[f11441,f10222]) ).
fof(f10222,plain,
( e21 = h3(e11)
| ~ spl144_90
| ~ spl144_349
| ~ spl144_393 ),
inference(forward_demodulation,[],[f7785,f3481]) ).
fof(f7785,plain,
( op2(e22,e23) = h3(e11)
| ~ spl144_90
| ~ spl144_349 ),
inference(superposition,[],[f3176,f1876]) ).
fof(f1876,plain,
( e23 = h3(e12)
| ~ spl144_90 ),
inference(avatar_component_clause,[],[f1874]) ).
fof(f11441,plain,
( e21 = e22
| e20 = e23
| e22 = h3(e11)
| e20 = op2(e22,op2(e22,e20))
| ~ spl144_354
| ~ spl144_393
| ~ spl144_408 ),
inference(forward_demodulation,[],[f10181,f3711]) ).
fof(f10181,plain,
( e21 = op2(e22,e20)
| e20 = e23
| e22 = h3(e11)
| e20 = op2(e22,op2(e22,e20))
| ~ spl144_354
| ~ spl144_393 ),
inference(forward_demodulation,[],[f10180,f3205]) ).
fof(f10180,plain,
( e20 = e23
| e22 = h3(e11)
| e21 = op2(e22,op2(e22,e21))
| e20 = op2(e22,op2(e22,e20))
| ~ spl144_354
| ~ spl144_393 ),
inference(forward_demodulation,[],[f10179,f3205]) ).
fof(f10179,plain,
( e23 = op2(e22,e21)
| e22 = h3(e11)
| e21 = op2(e22,op2(e22,e21))
| e20 = op2(e22,op2(e22,e20))
| ~ spl144_393 ),
inference(forward_demodulation,[],[f1380,f3481]) ).
fof(f1380,plain,
( e22 = h3(e11)
| e23 = op2(e22,op2(e22,e23))
| e21 = op2(e22,op2(e22,e21))
| e20 = op2(e22,op2(e22,e20)) ),
inference(forward_demodulation,[],[f1379,f1189]) ).
fof(f1189,plain,
h3(e11) = op2(e22,h3(e12)),
inference(forward_demodulation,[],[f410,f411]) ).
fof(f410,plain,
op2(e22,op2(e22,e22)) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f1379,plain,
( e22 = op2(e22,h3(e12))
| e23 = op2(e22,op2(e22,e23))
| e21 = op2(e22,op2(e22,e21))
| e20 = op2(e22,op2(e22,e20)) ),
inference(forward_demodulation,[],[f888,f411]) ).
fof(f888,plain,
( e23 = op2(e22,op2(e22,e23))
| e22 = op2(e22,op2(e22,e22))
| e21 = op2(e22,op2(e22,e21))
| e20 = op2(e22,op2(e22,e20)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f11478,plain,
( ~ spl144_106
| spl144_253
| ~ spl144_406 ),
inference(avatar_split_clause,[],[f8127,f3673,f2668,f1946]) ).
fof(f2668,plain,
( spl144_253
<=> op2(e20,e21) = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_253])]) ).
fof(f3673,plain,
( spl144_406
<=> e21 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_406])]) ).
fof(f8127,plain,
( e21 != h2(e12)
| spl144_253
| ~ spl144_406 ),
inference(superposition,[],[f2670,f3675]) ).
fof(f3675,plain,
( e21 = op2(e20,e21)
| ~ spl144_406 ),
inference(avatar_component_clause,[],[f3673]) ).
fof(f2670,plain,
( op2(e20,e21) != h2(e12)
| spl144_253 ),
inference(avatar_component_clause,[],[f2668]) ).
fof(f11452,plain,
( spl144_4
| ~ spl144_98
| ~ spl144_166
| ~ spl144_395 ),
inference(avatar_split_clause,[],[f10864,f3500,f2240,f1910,f1457]) ).
fof(f10864,plain,
( e21 = e22
| ~ spl144_98
| ~ spl144_166
| ~ spl144_395 ),
inference(forward_demodulation,[],[f1912,f9301]) ).
fof(f1912,plain,
( e22 = h2(e12)
| ~ spl144_98 ),
inference(avatar_component_clause,[],[f1910]) ).
fof(f11278,plain,
( spl144_1
| ~ spl144_178
| ~ spl144_438 ),
inference(avatar_split_clause,[],[f10742,f6055,f2299,f1442]) ).
fof(f2299,plain,
( spl144_178
<=> e21 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_178])]) ).
fof(f10742,plain,
( e20 = e21
| ~ spl144_178
| ~ spl144_438 ),
inference(forward_demodulation,[],[f2300,f6057]) ).
fof(f6057,plain,
( e20 = op2(e21,e20)
| ~ spl144_438 ),
inference(avatar_component_clause,[],[f6055]) ).
fof(f2300,plain,
( e21 = op2(e21,e20)
| ~ spl144_178 ),
inference(avatar_component_clause,[],[f2299]) ).
fof(f10543,plain,
( spl144_5
| spl144_3
| spl144_6
| ~ spl144_108
| ~ spl144_357
| ~ spl144_389
| ~ spl144_404 ),
inference(avatar_split_clause,[],[f10490,f3662,f3456,f3221,f1955,f1467,f1452,f1462]) ).
fof(f3456,plain,
( spl144_389
<=> e22 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_389])]) ).
fof(f10490,plain,
( e22 = e23
| e20 = e23
| e21 = e23
| ~ spl144_108
| ~ spl144_357
| ~ spl144_389
| ~ spl144_404 ),
inference(duplicate_literal_removal,[],[f10489]) ).
fof(f10489,plain,
( e22 = e23
| e22 = e23
| e20 = e23
| e21 = e23
| ~ spl144_108
| ~ spl144_357
| ~ spl144_389
| ~ spl144_404 ),
inference(forward_demodulation,[],[f4370,f3664]) ).
fof(f4370,plain,
( e22 = e23
| e20 = e23
| e21 = e23
| e23 = op2(e20,e21)
| ~ spl144_108
| ~ spl144_357
| ~ spl144_389 ),
inference(forward_demodulation,[],[f4369,f3458]) ).
fof(f3458,plain,
( e22 = op2(e20,e22)
| ~ spl144_389 ),
inference(avatar_component_clause,[],[f3456]) ).
fof(f4369,plain,
( e20 = e23
| e21 = e23
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| ~ spl144_108
| ~ spl144_357 ),
inference(forward_demodulation,[],[f4368,f3222]) ).
fof(f3222,plain,
( e20 = op2(e20,e23)
| ~ spl144_357 ),
inference(avatar_component_clause,[],[f3221]) ).
fof(f4368,plain,
( e21 = e23
| e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| ~ spl144_108 ),
inference(forward_demodulation,[],[f1247,f1957]) ).
fof(f1247,plain,
( e23 = h1(e12)
| e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21) ),
inference(forward_demodulation,[],[f528,f407]) ).
fof(f528,plain,
( e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f10526,plain,
( ~ spl144_96
| spl144_235
| ~ spl144_408 ),
inference(avatar_split_clause,[],[f5290,f3709,f2575,f1901]) ).
fof(f2575,plain,
( spl144_235
<=> op2(e22,e20) = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_235])]) ).
fof(f5290,plain,
( e22 != h3(e12)
| spl144_235
| ~ spl144_408 ),
inference(superposition,[],[f2577,f3711]) ).
fof(f2577,plain,
( op2(e22,e20) != h3(e12)
| spl144_235 ),
inference(avatar_component_clause,[],[f2575]) ).
fof(f10372,plain,
( ~ spl144_356
| ~ spl144_165
| ~ spl144_422 ),
inference(avatar_split_clause,[],[f10183,f4467,f2235,f3217]) ).
fof(f10183,plain,
( ~ sP14
| ~ spl144_165
| ~ spl144_422 ),
inference(trivial_inequality_removal,[],[f10182]) ).
fof(f10182,plain,
( e22 != e22
| ~ sP14
| ~ spl144_165
| ~ spl144_422 ),
inference(forward_demodulation,[],[f1370,f8139]) ).
fof(f1370,plain,
( e22 != h3(e12)
| ~ sP14 ),
inference(forward_demodulation,[],[f872,f411]) ).
fof(f872,plain,
( e22 != op2(e22,e22)
| ~ sP14 ),
inference(cnf_transformation,[],[f243]) ).
fof(f10158,plain,
( spl144_5
| spl144_2
| spl144_329
| ~ spl144_108
| ~ spl144_164
| ~ spl144_348
| ~ spl144_357
| ~ spl144_387
| ~ spl144_404 ),
inference(avatar_split_clause,[],[f10035,f3662,f3428,f3221,f3169,f2230,f1955,f3071,f1447,f1462]) ).
fof(f3071,plain,
( spl144_329
<=> e21 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_329])]) ).
fof(f3428,plain,
( spl144_387
<=> e23 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_387])]) ).
fof(f10035,plain,
( e21 = op2(e20,e22)
| e20 = e22
| e21 = e23
| ~ spl144_108
| ~ spl144_164
| ~ spl144_348
| ~ spl144_357
| ~ spl144_387
| ~ spl144_404 ),
inference(forward_demodulation,[],[f10034,f3664]) ).
fof(f10034,plain,
( e20 = e22
| e21 = e23
| e21 = op2(e20,op2(e20,e21))
| ~ spl144_108
| ~ spl144_164
| ~ spl144_348
| ~ spl144_357
| ~ spl144_387
| ~ spl144_404 ),
inference(duplicate_literal_removal,[],[f10033]) ).
fof(f10033,plain,
( e20 = e22
| e20 = e22
| e21 = e23
| e21 = op2(e20,op2(e20,e21))
| ~ spl144_108
| ~ spl144_164
| ~ spl144_348
| ~ spl144_357
| ~ spl144_387
| ~ spl144_404 ),
inference(forward_demodulation,[],[f10032,f3222]) ).
fof(f10032,plain,
( e22 = op2(e20,e23)
| e20 = e22
| e21 = e23
| e21 = op2(e20,op2(e20,e21))
| ~ spl144_108
| ~ spl144_164
| ~ spl144_348
| ~ spl144_357
| ~ spl144_387
| ~ spl144_404 ),
inference(forward_demodulation,[],[f10031,f3430]) ).
fof(f3430,plain,
( e23 = op2(e20,e22)
| ~ spl144_387 ),
inference(avatar_component_clause,[],[f3428]) ).
fof(f10031,plain,
( e20 = e22
| e21 = e23
| e22 = op2(e20,op2(e20,e22))
| e21 = op2(e20,op2(e20,e21))
| ~ spl144_108
| ~ spl144_164
| ~ spl144_348
| ~ spl144_357
| ~ spl144_404 ),
inference(forward_demodulation,[],[f10030,f10024]) ).
fof(f10030,plain,
( e21 = e23
| e20 = h1(e11)
| e22 = op2(e20,op2(e20,e22))
| e21 = op2(e20,op2(e20,e21))
| ~ spl144_108
| ~ spl144_164
| ~ spl144_357 ),
inference(forward_demodulation,[],[f5222,f1957]) ).
fof(f5222,plain,
( e23 = h1(e12)
| e20 = h1(e11)
| e22 = op2(e20,op2(e20,e22))
| e21 = op2(e20,op2(e20,e21))
| ~ spl144_164
| ~ spl144_357 ),
inference(forward_demodulation,[],[f5221,f2232]) ).
fof(f5221,plain,
( op2(e20,e20) = e23
| e20 = h1(e11)
| e22 = op2(e20,op2(e20,e22))
| e21 = op2(e20,op2(e20,e21))
| ~ spl144_357 ),
inference(forward_demodulation,[],[f1384,f3222]) ).
fof(f10119,plain,
( spl144_2
| ~ spl144_407
| ~ spl144_438 ),
inference(avatar_split_clause,[],[f9393,f6055,f3705,f1447]) ).
fof(f9393,plain,
( e20 = e22
| ~ spl144_407
| ~ spl144_438 ),
inference(superposition,[],[f6057,f3707]) ).
fof(f10118,plain,
( spl144_438
| ~ spl144_108
| ~ spl144_164
| ~ spl144_403
| ~ spl144_446 ),
inference(avatar_split_clause,[],[f10079,f8434,f3655,f2230,f1955,f6055]) ).
fof(f3655,plain,
( spl144_403
<=> op2(e20,e20) = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_403])]) ).
fof(f10079,plain,
( e20 = op2(e21,e20)
| ~ spl144_108
| ~ spl144_164
| ~ spl144_403
| ~ spl144_446 ),
inference(forward_demodulation,[],[f8436,f10057]) ).
fof(f10057,plain,
( e21 = e23
| ~ spl144_108
| ~ spl144_164
| ~ spl144_403 ),
inference(forward_demodulation,[],[f9542,f1957]) ).
fof(f9542,plain,
( e23 = h1(e12)
| ~ spl144_164
| ~ spl144_403 ),
inference(superposition,[],[f2232,f3657]) ).
fof(f3657,plain,
( op2(e20,e20) = e23
| ~ spl144_403 ),
inference(avatar_component_clause,[],[f3655]) ).
fof(f10063,plain,
( ~ spl144_177
| ~ spl144_367 ),
inference(avatar_split_clause,[],[f10022,f3287,f2295]) ).
fof(f2295,plain,
( spl144_177
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_177])]) ).
fof(f10022,plain,
( ~ sP12
| ~ spl144_367 ),
inference(trivial_inequality_removal,[],[f10021]) ).
fof(f10021,plain,
( e23 != e23
| ~ sP12
| ~ spl144_367 ),
inference(forward_demodulation,[],[f881,f3289]) ).
fof(f881,plain,
( e23 != op2(e23,e20)
| ~ sP12 ),
inference(cnf_transformation,[],[f245]) ).
fof(f245,plain,
( ( e23 != op2(e23,e20)
& e22 != op2(e22,e20)
& e21 != op2(e21,e20)
& e20 != op2(e20,e20) )
| ~ sP12 ),
inference(nnf_transformation,[],[f34]) ).
fof(f10007,plain,
( spl144_4
| ~ spl144_94
| ~ spl144_108
| ~ spl144_367
| ~ spl144_407 ),
inference(avatar_split_clause,[],[f9993,f3705,f3287,f1955,f1892,f1457]) ).
fof(f1892,plain,
( spl144_94
<=> e23 = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_94])]) ).
fof(f9993,plain,
( e21 = e22
| ~ spl144_94
| ~ spl144_108
| ~ spl144_367
| ~ spl144_407 ),
inference(forward_demodulation,[],[f3707,f9968]) ).
fof(f9968,plain,
( e21 = op2(e21,e20)
| ~ spl144_94
| ~ spl144_108
| ~ spl144_367 ),
inference(forward_demodulation,[],[f3289,f9851]) ).
fof(f9851,plain,
( e21 = e23
| ~ spl144_94
| ~ spl144_108 ),
inference(superposition,[],[f1957,f1894]) ).
fof(f1894,plain,
( e23 = h1(e12)
| ~ spl144_94 ),
inference(avatar_component_clause,[],[f1892]) ).
fof(f9969,plain,
( ~ spl144_175
| ~ spl144_106 ),
inference(avatar_split_clause,[],[f9895,f1946,f2286]) ).
fof(f2286,plain,
( spl144_175
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_175])]) ).
fof(f9895,plain,
( ~ sP13
| ~ spl144_106 ),
inference(trivial_inequality_removal,[],[f9894]) ).
fof(f9894,plain,
( e21 != e21
| ~ sP13
| ~ spl144_106 ),
inference(forward_demodulation,[],[f1371,f1947]) ).
fof(f1371,plain,
( e21 != h2(e12)
| ~ sP13 ),
inference(forward_demodulation,[],[f875,f415]) ).
fof(f875,plain,
( e21 != op2(e21,e21)
| ~ sP13 ),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
( ( e23 != op2(e23,e21)
& e22 != op2(e22,e21)
& e21 != op2(e21,e21)
& e20 != op2(e20,e21) )
| ~ sP13 ),
inference(nnf_transformation,[],[f35]) ).
fof(f9893,plain,
( ~ spl144_177
| ~ spl144_408 ),
inference(avatar_split_clause,[],[f880,f3709,f2295]) ).
fof(f880,plain,
( e22 != op2(e22,e20)
| ~ sP12 ),
inference(cnf_transformation,[],[f245]) ).
fof(f9821,plain,
( spl144_5
| ~ spl144_358
| ~ spl144_365 ),
inference(avatar_split_clause,[],[f7299,f3273,f3226,f1462]) ).
fof(f3273,plain,
( spl144_365
<=> e23 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_365])]) ).
fof(f7299,plain,
( e21 = e23
| ~ spl144_358
| ~ spl144_365 ),
inference(forward_demodulation,[],[f3275,f3227]) ).
fof(f3227,plain,
( e21 = op2(e21,e23)
| ~ spl144_358 ),
inference(avatar_component_clause,[],[f3226]) ).
fof(f3275,plain,
( e23 = op2(e21,e23)
| ~ spl144_365 ),
inference(avatar_component_clause,[],[f3273]) ).
fof(f9787,plain,
( spl144_3
| spl144_5
| spl144_6
| ~ spl144_106
| ~ spl144_358
| ~ spl144_396
| ~ spl144_407 ),
inference(avatar_split_clause,[],[f9766,f3705,f3506,f3226,f1946,f1467,f1462,f1452]) ).
fof(f9766,plain,
( e22 = e23
| e21 = e23
| e20 = e23
| ~ spl144_106
| ~ spl144_358
| ~ spl144_396
| ~ spl144_407 ),
inference(forward_demodulation,[],[f9765,f3707]) ).
fof(f9765,plain,
( e21 = e23
| e20 = e23
| e23 = op2(e21,e20)
| ~ spl144_106
| ~ spl144_358
| ~ spl144_396 ),
inference(duplicate_literal_removal,[],[f9764]) ).
fof(f9764,plain,
( e21 = e23
| e20 = e23
| e21 = e23
| e23 = op2(e21,e20)
| ~ spl144_106
| ~ spl144_358
| ~ spl144_396 ),
inference(forward_demodulation,[],[f7344,f3227]) ).
fof(f7344,plain,
( e20 = e23
| e21 = e23
| e23 = op2(e21,e23)
| e23 = op2(e21,e20)
| ~ spl144_106
| ~ spl144_396 ),
inference(forward_demodulation,[],[f6627,f3508]) ).
fof(f3508,plain,
( e20 = op2(e21,e22)
| ~ spl144_396 ),
inference(avatar_component_clause,[],[f3506]) ).
fof(f6627,plain,
( e21 = e23
| e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e20)
| ~ spl144_106 ),
inference(forward_demodulation,[],[f1239,f1947]) ).
fof(f9740,plain,
( spl144_410
| spl144_1
| spl144_3
| spl144_2
| ~ spl144_106
| ~ spl144_388
| ~ spl144_407 ),
inference(avatar_split_clause,[],[f9570,f3705,f3432,f1946,f1447,f1452,f1442,f4014]) ).
fof(f9570,plain,
( e20 = e22
| e20 = e23
| e20 = e21
| e20 = op2(e21,e23)
| ~ spl144_106
| ~ spl144_388
| ~ spl144_407 ),
inference(forward_demodulation,[],[f7088,f3707]) ).
fof(f7088,plain,
( e20 = e23
| e20 = e21
| e20 = op2(e21,e23)
| e20 = op2(e21,e20)
| ~ spl144_106
| ~ spl144_388 ),
inference(forward_demodulation,[],[f7087,f3434]) ).
fof(f7087,plain,
( e20 = e21
| e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e20)
| ~ spl144_106 ),
inference(forward_demodulation,[],[f1245,f1947]) ).
fof(f1245,plain,
( e20 = h2(e12)
| e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e20) ),
inference(forward_demodulation,[],[f530,f415]) ).
fof(f530,plain,
( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f9727,plain,
( ~ spl144_98
| spl144_238
| ~ spl144_407 ),
inference(avatar_split_clause,[],[f4118,f3705,f2590,f1910]) ).
fof(f2590,plain,
( spl144_238
<=> op2(e21,e20) = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_238])]) ).
fof(f4118,plain,
( e22 != h2(e12)
| spl144_238
| ~ spl144_407 ),
inference(superposition,[],[f2592,f3707]) ).
fof(f2592,plain,
( op2(e21,e20) != h2(e12)
| spl144_238 ),
inference(avatar_component_clause,[],[f2590]) ).
fof(f9564,plain,
( spl144_6
| spl144_1
| ~ spl144_94
| ~ spl144_164
| ~ spl144_174
| ~ spl144_348
| ~ spl144_404
| ~ spl144_413 ),
inference(avatar_split_clause,[],[f9562,f4030,f3662,f3169,f2281,f2230,f1892,f1442,f1467]) ).
fof(f4030,plain,
( spl144_413
<=> e21 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_413])]) ).
fof(f9562,plain,
( e20 = e21
| e22 = e23
| ~ spl144_94
| ~ spl144_164
| ~ spl144_174
| ~ spl144_348
| ~ spl144_404
| ~ spl144_413 ),
inference(duplicate_literal_removal,[],[f9561]) ).
fof(f9561,plain,
( e20 = e21
| e22 = e23
| e20 = e21
| ~ spl144_94
| ~ spl144_164
| ~ spl144_174
| ~ spl144_348
| ~ spl144_404
| ~ spl144_413 ),
inference(forward_demodulation,[],[f9560,f2283]) ).
fof(f9560,plain,
( e21 = op2(e20,e22)
| e22 = e23
| e20 = e21
| ~ spl144_94
| ~ spl144_164
| ~ spl144_174
| ~ spl144_348
| ~ spl144_404
| ~ spl144_413 ),
inference(forward_demodulation,[],[f9559,f3664]) ).
fof(f9559,plain,
( e22 = e23
| e20 = e21
| e21 = op2(e20,op2(e20,e21))
| ~ spl144_94
| ~ spl144_164
| ~ spl144_174
| ~ spl144_348
| ~ spl144_404
| ~ spl144_413 ),
inference(duplicate_literal_removal,[],[f9558]) ).
fof(f9558,plain,
( e22 = e23
| e20 = e21
| e22 = e23
| e21 = op2(e20,op2(e20,e21))
| ~ spl144_94
| ~ spl144_164
| ~ spl144_174
| ~ spl144_348
| ~ spl144_404
| ~ spl144_413 ),
inference(forward_demodulation,[],[f9557,f1894]) ).
fof(f9557,plain,
( e22 = h1(e12)
| e20 = e21
| e22 = e23
| e21 = op2(e20,op2(e20,e21))
| ~ spl144_94
| ~ spl144_164
| ~ spl144_174
| ~ spl144_348
| ~ spl144_404
| ~ spl144_413 ),
inference(forward_demodulation,[],[f9556,f2232]) ).
fof(f9556,plain,
( op2(e20,e20) = e22
| e20 = e21
| e22 = e23
| e21 = op2(e20,op2(e20,e21))
| ~ spl144_94
| ~ spl144_174
| ~ spl144_348
| ~ spl144_404
| ~ spl144_413 ),
inference(forward_demodulation,[],[f9555,f2283]) ).
fof(f9555,plain,
( e20 = e21
| e22 = e23
| e22 = op2(e20,op2(e20,e22))
| e21 = op2(e20,op2(e20,e21))
| ~ spl144_94
| ~ spl144_348
| ~ spl144_404
| ~ spl144_413 ),
inference(forward_demodulation,[],[f6660,f9413]) ).
fof(f9413,plain,
( e21 = h1(e11)
| ~ spl144_94
| ~ spl144_348
| ~ spl144_413 ),
inference(forward_demodulation,[],[f5869,f4032]) ).
fof(f4032,plain,
( e21 = op2(e20,e23)
| ~ spl144_413 ),
inference(avatar_component_clause,[],[f4030]) ).
fof(f5869,plain,
( op2(e20,e23) = h1(e11)
| ~ spl144_94
| ~ spl144_348 ),
inference(superposition,[],[f3171,f1894]) ).
fof(f6660,plain,
( e22 = e23
| e20 = h1(e11)
| e22 = op2(e20,op2(e20,e22))
| e21 = op2(e20,op2(e20,e21))
| ~ spl144_404
| ~ spl144_413 ),
inference(forward_demodulation,[],[f6329,f3664]) ).
fof(f6329,plain,
( e23 = op2(e20,e21)
| e20 = h1(e11)
| e22 = op2(e20,op2(e20,e22))
| e21 = op2(e20,op2(e20,e21))
| ~ spl144_413 ),
inference(forward_demodulation,[],[f1384,f4032]) ).
fof(f9551,plain,
( spl144_3
| spl144_116
| spl144_1
| ~ spl144_94
| ~ spl144_164
| ~ spl144_174
| ~ spl144_348
| ~ spl144_404
| ~ spl144_407
| ~ spl144_413
| ~ spl144_438 ),
inference(avatar_split_clause,[],[f9464,f6055,f4030,f3705,f3662,f3169,f2281,f2230,f1892,f1442,f1991,f1452]) ).
fof(f1991,plain,
( spl144_116
<=> e20 = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_116])]) ).
fof(f9464,plain,
( e20 = e21
| e20 = h1(e12)
| e20 = e23
| ~ spl144_94
| ~ spl144_164
| ~ spl144_174
| ~ spl144_348
| ~ spl144_404
| ~ spl144_407
| ~ spl144_413
| ~ spl144_438 ),
inference(duplicate_literal_removal,[],[f9463]) ).
fof(f9463,plain,
( e20 = e21
| e20 = h1(e12)
| e20 = e23
| e20 = e21
| ~ spl144_94
| ~ spl144_164
| ~ spl144_174
| ~ spl144_348
| ~ spl144_404
| ~ spl144_407
| ~ spl144_413
| ~ spl144_438 ),
inference(forward_demodulation,[],[f9462,f2283]) ).
fof(f9462,plain,
( e21 = op2(e20,e22)
| e20 = h1(e12)
| e20 = e23
| e20 = e21
| ~ spl144_94
| ~ spl144_164
| ~ spl144_174
| ~ spl144_348
| ~ spl144_404
| ~ spl144_407
| ~ spl144_413
| ~ spl144_438 ),
inference(forward_demodulation,[],[f9461,f3664]) ).
fof(f9461,plain,
( e20 = h1(e12)
| e20 = e23
| e20 = e21
| e21 = op2(e20,op2(e20,e21))
| ~ spl144_94
| ~ spl144_164
| ~ spl144_174
| ~ spl144_348
| ~ spl144_404
| ~ spl144_407
| ~ spl144_413
| ~ spl144_438 ),
inference(forward_demodulation,[],[f9460,f2232]) ).
fof(f9460,plain,
( e20 = op2(e20,e20)
| e20 = e23
| e20 = e21
| e21 = op2(e20,op2(e20,e21))
| ~ spl144_94
| ~ spl144_174
| ~ spl144_348
| ~ spl144_404
| ~ spl144_407
| ~ spl144_413
| ~ spl144_438 ),
inference(forward_demodulation,[],[f9459,f9393]) ).
fof(f9459,plain,
( op2(e20,e20) = e22
| e20 = e23
| e20 = e21
| e21 = op2(e20,op2(e20,e21))
| ~ spl144_94
| ~ spl144_174
| ~ spl144_348
| ~ spl144_404
| ~ spl144_407
| ~ spl144_413
| ~ spl144_438 ),
inference(forward_demodulation,[],[f9458,f2283]) ).
fof(f9458,plain,
( e20 = e23
| e20 = e21
| e22 = op2(e20,op2(e20,e22))
| e21 = op2(e20,op2(e20,e21))
| ~ spl144_94
| ~ spl144_348
| ~ spl144_404
| ~ spl144_407
| ~ spl144_413
| ~ spl144_438 ),
inference(forward_demodulation,[],[f9457,f9393]) ).
fof(f9457,plain,
( e22 = e23
| e20 = e21
| e22 = op2(e20,op2(e20,e22))
| e21 = op2(e20,op2(e20,e21))
| ~ spl144_94
| ~ spl144_348
| ~ spl144_404
| ~ spl144_413 ),
inference(forward_demodulation,[],[f9456,f3664]) ).
fof(f9456,plain,
( e23 = op2(e20,e21)
| e20 = e21
| e22 = op2(e20,op2(e20,e22))
| e21 = op2(e20,op2(e20,e21))
| ~ spl144_94
| ~ spl144_348
| ~ spl144_413 ),
inference(forward_demodulation,[],[f9430,f4032]) ).
fof(f9430,plain,
( e20 = e21
| e23 = op2(e20,op2(e20,e23))
| e22 = op2(e20,op2(e20,e22))
| e21 = op2(e20,op2(e20,e21))
| ~ spl144_94
| ~ spl144_348
| ~ spl144_413 ),
inference(forward_demodulation,[],[f1384,f9413]) ).
fof(f9432,plain,
( spl144_5
| ~ spl144_94
| ~ spl144_164
| ~ spl144_418 ),
inference(avatar_split_clause,[],[f9389,f4402,f2230,f1892,f1462]) ).
fof(f9389,plain,
( e21 = e23
| ~ spl144_94
| ~ spl144_164
| ~ spl144_418 ),
inference(forward_demodulation,[],[f1894,f6082]) ).
fof(f6082,plain,
( e21 = h1(e12)
| ~ spl144_164
| ~ spl144_418 ),
inference(superposition,[],[f2232,f4404]) ).
fof(f9399,plain,
( spl144_5
| ~ spl144_94
| ~ spl144_348
| ~ spl144_413
| ~ spl144_442 ),
inference(avatar_split_clause,[],[f9368,f6782,f4030,f3169,f1892,f1462]) ).
fof(f6782,plain,
( spl144_442
<=> e23 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_442])]) ).
fof(f9368,plain,
( e21 = e23
| ~ spl144_94
| ~ spl144_348
| ~ spl144_413
| ~ spl144_442 ),
inference(forward_demodulation,[],[f9367,f4032]) ).
fof(f9367,plain,
( e23 = op2(e20,e23)
| ~ spl144_94
| ~ spl144_348
| ~ spl144_442 ),
inference(forward_demodulation,[],[f5869,f6784]) ).
fof(f6784,plain,
( e23 = h1(e11)
| ~ spl144_442 ),
inference(avatar_component_clause,[],[f6782]) ).
fof(f9398,plain,
( spl144_446
| spl144_412
| spl144_1
| spl144_3
| ~ spl144_258
| ~ spl144_368 ),
inference(avatar_split_clause,[],[f6133,f3291,f2694,f1452,f1442,f4022,f8434]) ).
fof(f4022,plain,
( spl144_412
<=> e20 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_412])]) ).
fof(f6133,plain,
( e20 = e23
| e20 = e21
| e20 = op2(e23,e23)
| e20 = op2(e23,e20)
| ~ spl144_258
| ~ spl144_368 ),
inference(forward_demodulation,[],[f3941,f3293]) ).
fof(f3941,plain,
( e20 = e21
| e20 = op2(e23,e23)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20)
| ~ spl144_258 ),
inference(forward_demodulation,[],[f546,f2696]) ).
fof(f546,plain,
( e20 = op2(e23,e23)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f9392,plain,
( spl144_438
| ~ spl144_94
| ~ spl144_348
| ~ spl144_413
| ~ spl144_442
| ~ spl144_446 ),
inference(avatar_split_clause,[],[f9391,f8434,f6782,f4030,f3169,f1892,f6055]) ).
fof(f9391,plain,
( e20 = op2(e21,e20)
| ~ spl144_94
| ~ spl144_348
| ~ spl144_413
| ~ spl144_442
| ~ spl144_446 ),
inference(forward_demodulation,[],[f8436,f9368]) ).
fof(f9390,plain,
( spl144_446
| spl144_116
| spl144_1
| spl144_2
| ~ spl144_391
| ~ spl144_407 ),
inference(avatar_split_clause,[],[f9351,f3705,f3471,f1447,f1442,f1991,f8434]) ).
fof(f9351,plain,
( e20 = e22
| e20 = e21
| e20 = h1(e12)
| e20 = op2(e23,e20)
| ~ spl144_391
| ~ spl144_407 ),
inference(forward_demodulation,[],[f9350,f3707]) ).
fof(f9350,plain,
( e20 = e21
| e20 = h1(e12)
| e20 = op2(e23,e20)
| e20 = op2(e21,e20)
| ~ spl144_391 ),
inference(forward_demodulation,[],[f1252,f3473]) ).
fof(f3473,plain,
( e21 = op2(e22,e20)
| ~ spl144_391 ),
inference(avatar_component_clause,[],[f3471]) ).
fof(f1252,plain,
( e20 = h1(e12)
| e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20) ),
inference(forward_demodulation,[],[f523,f407]) ).
fof(f523,plain,
( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f9364,plain,
( spl144_94
| spl144_5
| spl144_3
| spl144_6
| ~ spl144_174
| ~ spl144_404
| ~ spl144_413 ),
inference(avatar_split_clause,[],[f9354,f4030,f3662,f2281,f1467,f1452,f1462,f1892]) ).
fof(f9354,plain,
( e22 = e23
| e20 = e23
| e21 = e23
| e23 = h1(e12)
| ~ spl144_174
| ~ spl144_404
| ~ spl144_413 ),
inference(forward_demodulation,[],[f9353,f3664]) ).
fof(f9353,plain,
( e20 = e23
| e21 = e23
| e23 = h1(e12)
| e23 = op2(e20,e21)
| ~ spl144_174
| ~ spl144_413 ),
inference(forward_demodulation,[],[f9352,f2283]) ).
fof(f9352,plain,
( e21 = e23
| e23 = h1(e12)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| ~ spl144_413 ),
inference(forward_demodulation,[],[f1247,f4032]) ).
fof(f9349,plain,
( spl144_387
| spl144_5
| spl144_6
| ~ spl144_164
| ~ spl144_404
| ~ spl144_413
| ~ spl144_419 ),
inference(avatar_split_clause,[],[f9309,f4406,f4030,f3662,f2230,f1467,f1462,f3428]) ).
fof(f4406,plain,
( spl144_419
<=> op2(e20,e20) = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_419])]) ).
fof(f9309,plain,
( e22 = e23
| e21 = e23
| e23 = op2(e20,e22)
| ~ spl144_164
| ~ spl144_404
| ~ spl144_413
| ~ spl144_419 ),
inference(duplicate_literal_removal,[],[f9308]) ).
fof(f9308,plain,
( e22 = e23
| e21 = e23
| e22 = e23
| e23 = op2(e20,e22)
| ~ spl144_164
| ~ spl144_404
| ~ spl144_413
| ~ spl144_419 ),
inference(forward_demodulation,[],[f8688,f3664]) ).
fof(f8688,plain,
( e21 = e23
| e22 = e23
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| ~ spl144_164
| ~ spl144_413
| ~ spl144_419 ),
inference(forward_demodulation,[],[f8687,f4032]) ).
fof(f8687,plain,
( e22 = e23
| e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| ~ spl144_164
| ~ spl144_419 ),
inference(forward_demodulation,[],[f1247,f6356]) ).
fof(f6356,plain,
( e22 = h1(e12)
| ~ spl144_164
| ~ spl144_419 ),
inference(superposition,[],[f2232,f4408]) ).
fof(f4408,plain,
( op2(e20,e20) = e22
| ~ spl144_419 ),
inference(avatar_component_clause,[],[f4406]) ).
fof(f9348,plain,
( ~ spl144_100
| spl144_256
| ~ spl144_407 ),
inference(avatar_split_clause,[],[f4117,f3705,f2683,f1919]) ).
fof(f1919,plain,
( spl144_100
<=> e22 = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_100])]) ).
fof(f2683,plain,
( spl144_256
<=> op2(e21,e20) = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_256])]) ).
fof(f4117,plain,
( e22 != h1(e12)
| spl144_256
| ~ spl144_407 ),
inference(superposition,[],[f2685,f3707]) ).
fof(f2685,plain,
( op2(e21,e20) != h1(e12)
| spl144_256 ),
inference(avatar_component_clause,[],[f2683]) ).
fof(f9339,plain,
( spl144_3
| spl144_5
| spl144_6
| ~ spl144_164
| ~ spl144_391
| ~ spl144_407
| ~ spl144_419
| ~ spl144_446 ),
inference(avatar_split_clause,[],[f9314,f8434,f4406,f3705,f3471,f2230,f1467,f1462,f1452]) ).
fof(f9314,plain,
( e22 = e23
| e21 = e23
| e20 = e23
| ~ spl144_164
| ~ spl144_391
| ~ spl144_407
| ~ spl144_419
| ~ spl144_446 ),
inference(duplicate_literal_removal,[],[f9313]) ).
fof(f9313,plain,
( e22 = e23
| e21 = e23
| e20 = e23
| e22 = e23
| ~ spl144_164
| ~ spl144_391
| ~ spl144_407
| ~ spl144_419
| ~ spl144_446 ),
inference(forward_demodulation,[],[f8686,f3707]) ).
fof(f8686,plain,
( e21 = e23
| e20 = e23
| e22 = e23
| e23 = op2(e21,e20)
| ~ spl144_164
| ~ spl144_391
| ~ spl144_419
| ~ spl144_446 ),
inference(forward_demodulation,[],[f8685,f3473]) ).
fof(f8685,plain,
( e20 = e23
| e22 = e23
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| ~ spl144_164
| ~ spl144_419
| ~ spl144_446 ),
inference(forward_demodulation,[],[f8684,f8436]) ).
fof(f8684,plain,
( e22 = e23
| e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| ~ spl144_164
| ~ spl144_419 ),
inference(forward_demodulation,[],[f1246,f6356]) ).
fof(f9305,plain,
( spl144_5
| spl144_3
| spl144_6
| ~ spl144_106
| ~ spl144_396
| ~ spl144_407
| ~ spl144_410 ),
inference(avatar_split_clause,[],[f9091,f4014,f3705,f3506,f1946,f1467,f1452,f1462]) ).
fof(f9091,plain,
( e22 = e23
| e20 = e23
| e21 = e23
| ~ spl144_106
| ~ spl144_396
| ~ spl144_407
| ~ spl144_410 ),
inference(forward_demodulation,[],[f9090,f3707]) ).
fof(f9090,plain,
( e20 = e23
| e21 = e23
| e23 = op2(e21,e20)
| ~ spl144_106
| ~ spl144_396
| ~ spl144_410 ),
inference(duplicate_literal_removal,[],[f9089]) ).
fof(f9089,plain,
( e20 = e23
| e20 = e23
| e21 = e23
| e23 = op2(e21,e20)
| ~ spl144_106
| ~ spl144_396
| ~ spl144_410 ),
inference(forward_demodulation,[],[f7770,f3508]) ).
fof(f7770,plain,
( e20 = e23
| e21 = e23
| e23 = op2(e21,e22)
| e23 = op2(e21,e20)
| ~ spl144_106
| ~ spl144_410 ),
inference(forward_demodulation,[],[f6627,f4016]) ).
fof(f9077,plain,
( spl144_4
| ~ spl144_106
| ~ spl144_166
| ~ spl144_420 ),
inference(avatar_split_clause,[],[f6741,f4418,f2240,f1946,f1457]) ).
fof(f6741,plain,
( e21 = e22
| ~ spl144_106
| ~ spl144_166
| ~ spl144_420 ),
inference(forward_demodulation,[],[f6736,f1947]) ).
fof(f6736,plain,
( e22 = h2(e12)
| ~ spl144_166
| ~ spl144_420 ),
inference(superposition,[],[f4420,f2242]) ).
fof(f4420,plain,
( e22 = op2(e21,e21)
| ~ spl144_420 ),
inference(avatar_component_clause,[],[f4418]) ).
fof(f8655,plain,
( ~ spl144_172
| ~ spl144_258
| spl144_330 ),
inference(avatar_split_clause,[],[f3080,f3076,f2694,f2272]) ).
fof(f2272,plain,
( spl144_172
<=> e21 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_172])]) ).
fof(f3076,plain,
( spl144_330
<=> op2(e21,e22) = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_330])]) ).
fof(f3080,plain,
( e21 != op2(e21,e22)
| ~ spl144_258
| spl144_330 ),
inference(forward_demodulation,[],[f3078,f2696]) ).
fof(f3078,plain,
( op2(e21,e22) != op2(e23,e22)
| spl144_330 ),
inference(avatar_component_clause,[],[f3076]) ).
fof(f8647,plain,
( spl144_172
| spl144_1
| spl144_4
| spl144_5
| ~ spl144_98
| ~ spl144_410
| ~ spl144_416 ),
inference(avatar_split_clause,[],[f8582,f4314,f4014,f1910,f1462,f1457,f1442,f2272]) ).
fof(f4314,plain,
( spl144_416
<=> e23 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_416])]) ).
fof(f8582,plain,
( e21 = e23
| e21 = e22
| e20 = e21
| e21 = op2(e21,e22)
| ~ spl144_98
| ~ spl144_410
| ~ spl144_416 ),
inference(forward_demodulation,[],[f8581,f4316]) ).
fof(f4316,plain,
( e23 = op2(e21,e20)
| ~ spl144_416 ),
inference(avatar_component_clause,[],[f4314]) ).
fof(f8581,plain,
( e21 = e22
| e20 = e21
| e21 = op2(e21,e22)
| e21 = op2(e21,e20)
| ~ spl144_98
| ~ spl144_410 ),
inference(forward_demodulation,[],[f6581,f1912]) ).
fof(f6581,plain,
( e20 = e21
| e21 = h2(e12)
| e21 = op2(e21,e22)
| e21 = op2(e21,e20)
| ~ spl144_410 ),
inference(forward_demodulation,[],[f1243,f4016]) ).
fof(f1243,plain,
( e21 = h2(e12)
| e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e20) ),
inference(forward_demodulation,[],[f532,f415]) ).
fof(f532,plain,
( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f8645,plain,
( ~ spl144_90
| ~ spl144_165
| spl144_423 ),
inference(avatar_split_clause,[],[f4482,f4471,f2235,f1874]) ).
fof(f8623,plain,
( spl144_6
| spl144_442
| spl144_5
| ~ spl144_100
| ~ spl144_348
| ~ spl144_406
| ~ spl144_413 ),
inference(avatar_split_clause,[],[f8622,f4030,f3673,f3169,f1919,f1462,f6782,f1467]) ).
fof(f8622,plain,
( e21 = e23
| e23 = h1(e11)
| e22 = e23
| ~ spl144_100
| ~ spl144_348
| ~ spl144_406
| ~ spl144_413 ),
inference(duplicate_literal_removal,[],[f8621]) ).
fof(f8621,plain,
( e21 = e23
| e21 = e23
| e23 = h1(e11)
| e22 = e23
| ~ spl144_100
| ~ spl144_348
| ~ spl144_406
| ~ spl144_413 ),
inference(forward_demodulation,[],[f6333,f3675]) ).
fof(f6333,plain,
( e21 = e23
| e23 = h1(e11)
| e22 = e23
| e23 = op2(e20,e21)
| ~ spl144_100
| ~ spl144_348
| ~ spl144_413 ),
inference(forward_demodulation,[],[f6119,f4032]) ).
fof(f6119,plain,
( e23 = h1(e11)
| e22 = e23
| e23 = op2(e20,e23)
| e23 = op2(e20,e21)
| ~ spl144_100
| ~ spl144_348 ),
inference(forward_demodulation,[],[f5994,f5878]) ).
fof(f5878,plain,
( op2(e20,e22) = h1(e11)
| ~ spl144_100
| ~ spl144_348 ),
inference(superposition,[],[f3171,f1921]) ).
fof(f1921,plain,
( e22 = h1(e12)
| ~ spl144_100 ),
inference(avatar_component_clause,[],[f1919]) ).
fof(f5994,plain,
( e22 = e23
| e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| ~ spl144_100 ),
inference(forward_demodulation,[],[f1247,f1921]) ).
fof(f8616,plain,
( spl144_6
| spl144_5
| ~ spl144_100
| ~ spl144_348
| ~ spl144_406
| ~ spl144_413
| ~ spl144_444 ),
inference(avatar_split_clause,[],[f8569,f7058,f4030,f3673,f3169,f1919,f1462,f1467]) ).
fof(f7058,plain,
( spl144_444
<=> e21 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_444])]) ).
fof(f8569,plain,
( e21 = e23
| e22 = e23
| ~ spl144_100
| ~ spl144_348
| ~ spl144_406
| ~ spl144_413
| ~ spl144_444 ),
inference(duplicate_literal_removal,[],[f8568]) ).
fof(f8568,plain,
( e21 = e23
| e21 = e23
| e22 = e23
| ~ spl144_100
| ~ spl144_348
| ~ spl144_406
| ~ spl144_413
| ~ spl144_444 ),
inference(forward_demodulation,[],[f6335,f7060]) ).
fof(f7060,plain,
( e21 = h1(e11)
| ~ spl144_444 ),
inference(avatar_component_clause,[],[f7058]) ).
fof(f6335,plain,
( e21 = e23
| e23 = h1(e11)
| e22 = e23
| ~ spl144_100
| ~ spl144_348
| ~ spl144_406
| ~ spl144_413 ),
inference(duplicate_literal_removal,[],[f6334]) ).
fof(f6334,plain,
( e21 = e23
| e21 = e23
| e23 = h1(e11)
| e22 = e23
| ~ spl144_100
| ~ spl144_348
| ~ spl144_406
| ~ spl144_413 ),
inference(forward_demodulation,[],[f6333,f3675]) ).
fof(f8503,plain,
( spl144_1
| spl144_6
| spl144_410
| ~ spl144_98
| ~ spl144_166
| ~ spl144_350
| ~ spl144_358
| ~ spl144_396
| ~ spl144_416 ),
inference(avatar_split_clause,[],[f8500,f4314,f3506,f3226,f3179,f2240,f1910,f4014,f1467,f1442]) ).
fof(f8500,plain,
( e20 = op2(e21,e23)
| e22 = e23
| e20 = e21
| ~ spl144_98
| ~ spl144_166
| ~ spl144_350
| ~ spl144_358
| ~ spl144_396
| ~ spl144_416 ),
inference(forward_demodulation,[],[f8499,f4316]) ).
fof(f8499,plain,
( e22 = e23
| e20 = e21
| e20 = op2(e21,op2(e21,e20))
| ~ spl144_98
| ~ spl144_166
| ~ spl144_350
| ~ spl144_358
| ~ spl144_396
| ~ spl144_416 ),
inference(duplicate_literal_removal,[],[f8498]) ).
fof(f8498,plain,
( e22 = e23
| e22 = e23
| e20 = e21
| e20 = op2(e21,op2(e21,e20))
| ~ spl144_98
| ~ spl144_166
| ~ spl144_350
| ~ spl144_358
| ~ spl144_396
| ~ spl144_416 ),
inference(forward_demodulation,[],[f8497,f4316]) ).
fof(f8497,plain,
( e22 = op2(e21,e20)
| e22 = e23
| e20 = e21
| e20 = op2(e21,op2(e21,e20))
| ~ spl144_98
| ~ spl144_166
| ~ spl144_350
| ~ spl144_358
| ~ spl144_396 ),
inference(forward_demodulation,[],[f8496,f3508]) ).
fof(f8496,plain,
( e22 = e23
| e20 = e21
| e22 = op2(e21,op2(e21,e22))
| e20 = op2(e21,op2(e21,e20))
| ~ spl144_98
| ~ spl144_166
| ~ spl144_350
| ~ spl144_358
| ~ spl144_396 ),
inference(forward_demodulation,[],[f8495,f1912]) ).
fof(f8495,plain,
( e23 = h2(e12)
| e20 = e21
| e22 = op2(e21,op2(e21,e22))
| e20 = op2(e21,op2(e21,e20))
| ~ spl144_98
| ~ spl144_166
| ~ spl144_350
| ~ spl144_358
| ~ spl144_396 ),
inference(forward_demodulation,[],[f8494,f2242]) ).
fof(f8494,plain,
( e23 = op2(e21,e21)
| e20 = e21
| e22 = op2(e21,op2(e21,e22))
| e20 = op2(e21,op2(e21,e20))
| ~ spl144_98
| ~ spl144_350
| ~ spl144_358
| ~ spl144_396 ),
inference(forward_demodulation,[],[f8493,f3227]) ).
fof(f8493,plain,
( e20 = e21
| e23 = op2(e21,op2(e21,e23))
| e22 = op2(e21,op2(e21,e22))
| e20 = op2(e21,op2(e21,e20))
| ~ spl144_98
| ~ spl144_350
| ~ spl144_396 ),
inference(forward_demodulation,[],[f1382,f8487]) ).
fof(f8487,plain,
( e20 = h2(e11)
| ~ spl144_98
| ~ spl144_350
| ~ spl144_396 ),
inference(forward_demodulation,[],[f8112,f3508]) ).
fof(f8112,plain,
( op2(e21,e22) = h2(e11)
| ~ spl144_98
| ~ spl144_350 ),
inference(superposition,[],[f3181,f1912]) ).
fof(f1382,plain,
( e21 = h2(e11)
| e23 = op2(e21,op2(e21,e23))
| e22 = op2(e21,op2(e21,e22))
| e20 = op2(e21,op2(e21,e20)) ),
inference(forward_demodulation,[],[f1381,f1192]) ).
fof(f1192,plain,
h2(e11) = op2(e21,h2(e12)),
inference(forward_demodulation,[],[f414,f415]) ).
fof(f414,plain,
op2(e21,op2(e21,e21)) = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f1381,plain,
( e21 = op2(e21,h2(e12))
| e23 = op2(e21,op2(e21,e23))
| e22 = op2(e21,op2(e21,e22))
| e20 = op2(e21,op2(e21,e20)) ),
inference(forward_demodulation,[],[f887,f415]) ).
fof(f887,plain,
( e23 = op2(e21,op2(e21,e23))
| e22 = op2(e21,op2(e21,e22))
| e21 = op2(e21,op2(e21,e21))
| e20 = op2(e21,op2(e21,e20)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f8485,plain,
( spl144_438
| spl144_410
| spl144_2
| spl144_3
| ~ spl144_98
| ~ spl144_350
| ~ spl144_415 ),
inference(avatar_split_clause,[],[f8286,f4213,f3179,f1910,f1452,f1447,f4014,f6055]) ).
fof(f4213,plain,
( spl144_415
<=> e23 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_415])]) ).
fof(f8286,plain,
( e20 = e23
| e20 = e22
| e20 = op2(e21,e23)
| e20 = op2(e21,e20)
| ~ spl144_98
| ~ spl144_350
| ~ spl144_415 ),
inference(forward_demodulation,[],[f5988,f4215]) ).
fof(f4215,plain,
( e23 = h2(e11)
| ~ spl144_415 ),
inference(avatar_component_clause,[],[f4213]) ).
fof(f5988,plain,
( e20 = h2(e11)
| e20 = e22
| e20 = op2(e21,e23)
| e20 = op2(e21,e20)
| ~ spl144_98
| ~ spl144_350 ),
inference(forward_demodulation,[],[f3853,f3840]) ).
fof(f3840,plain,
( op2(e21,e22) = h2(e11)
| ~ spl144_98
| ~ spl144_350 ),
inference(superposition,[],[f3181,f1912]) ).
fof(f3853,plain,
( e20 = e22
| e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e20)
| ~ spl144_98 ),
inference(forward_demodulation,[],[f1245,f1912]) ).
fof(f8470,plain,
( spl144_414
| ~ spl144_368
| ~ spl144_433 ),
inference(avatar_split_clause,[],[f8451,f5099,f3291,f4034]) ).
fof(f4034,plain,
( spl144_414
<=> e21 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_414])]) ).
fof(f5099,plain,
( spl144_433
<=> e21 = op2(e23,op2(e23,e21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_433])]) ).
fof(f8451,plain,
( e21 = op2(e23,e23)
| ~ spl144_368
| ~ spl144_433 ),
inference(forward_demodulation,[],[f5101,f3293]) ).
fof(f5101,plain,
( e21 = op2(e23,op2(e23,e21))
| ~ spl144_433 ),
inference(avatar_component_clause,[],[f5099]) ).
fof(f8457,plain,
( spl144_3
| ~ spl144_367
| ~ spl144_446 ),
inference(avatar_split_clause,[],[f8456,f8434,f3287,f1452]) ).
fof(f8456,plain,
( e20 = e23
| ~ spl144_367
| ~ spl144_446 ),
inference(forward_demodulation,[],[f3289,f8436]) ).
fof(f8450,plain,
( spl144_416
| spl144_367
| spl144_6
| spl144_5
| ~ spl144_100
| ~ spl144_391 ),
inference(avatar_split_clause,[],[f6687,f3471,f1919,f1462,f1467,f3287,f4314]) ).
fof(f6687,plain,
( e21 = e23
| e22 = e23
| e23 = op2(e23,e20)
| e23 = op2(e21,e20)
| ~ spl144_100
| ~ spl144_391 ),
inference(forward_demodulation,[],[f6020,f3473]) ).
fof(f6020,plain,
( e22 = e23
| e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| ~ spl144_100 ),
inference(forward_demodulation,[],[f1246,f1921]) ).
fof(f8442,plain,
( spl144_367
| spl144_6
| spl144_5
| spl144_3
| ~ spl144_100
| ~ spl144_391
| ~ spl144_438 ),
inference(avatar_split_clause,[],[f6686,f6055,f3471,f1919,f1452,f1462,f1467,f3287]) ).
fof(f6686,plain,
( e20 = e23
| e21 = e23
| e22 = e23
| e23 = op2(e23,e20)
| ~ spl144_100
| ~ spl144_391
| ~ spl144_438 ),
inference(forward_demodulation,[],[f6104,f6057]) ).
fof(f6104,plain,
( e21 = e23
| e22 = e23
| e23 = op2(e23,e20)
| e23 = op2(e21,e20)
| ~ spl144_100
| ~ spl144_391 ),
inference(forward_demodulation,[],[f6020,f3473]) ).
fof(f8437,plain,
( spl144_438
| spl144_446
| spl144_2
| spl144_1
| ~ spl144_100
| ~ spl144_391 ),
inference(avatar_split_clause,[],[f6105,f3471,f1919,f1442,f1447,f8434,f6055]) ).
fof(f6105,plain,
( e20 = e21
| e20 = e22
| e20 = op2(e23,e20)
| e20 = op2(e21,e20)
| ~ spl144_100
| ~ spl144_391 ),
inference(forward_demodulation,[],[f6017,f3473]) ).
fof(f6017,plain,
( e20 = e22
| e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| ~ spl144_100 ),
inference(forward_demodulation,[],[f1252,f1921]) ).
fof(f8387,plain,
( spl144_442
| ~ spl144_100
| ~ spl144_348
| ~ spl144_387 ),
inference(avatar_split_clause,[],[f3848,f3428,f3169,f1919,f6782]) ).
fof(f3848,plain,
( e23 = h1(e11)
| ~ spl144_100
| ~ spl144_348
| ~ spl144_387 ),
inference(forward_demodulation,[],[f3844,f3430]) ).
fof(f3844,plain,
( op2(e20,e22) = h1(e11)
| ~ spl144_100
| ~ spl144_348 ),
inference(superposition,[],[f3171,f1921]) ).
fof(f8201,plain,
( spl144_2
| spl144_5
| ~ spl144_98
| ~ spl144_166
| ~ spl144_178
| ~ spl144_350
| ~ spl144_410
| ~ spl144_415 ),
inference(avatar_split_clause,[],[f8175,f4213,f4014,f3179,f2299,f2240,f1910,f1462,f1447]) ).
fof(f8175,plain,
( e21 = e23
| e20 = e22
| ~ spl144_98
| ~ spl144_166
| ~ spl144_178
| ~ spl144_350
| ~ spl144_410
| ~ spl144_415 ),
inference(duplicate_literal_removal,[],[f8174]) ).
fof(f8174,plain,
( e21 = e23
| e20 = e22
| e21 = e23
| ~ spl144_98
| ~ spl144_166
| ~ spl144_178
| ~ spl144_350
| ~ spl144_410
| ~ spl144_415 ),
inference(forward_demodulation,[],[f8173,f2300]) ).
fof(f8173,plain,
( e23 = op2(e21,e20)
| e20 = e22
| e21 = e23
| ~ spl144_98
| ~ spl144_166
| ~ spl144_178
| ~ spl144_350
| ~ spl144_410
| ~ spl144_415 ),
inference(forward_demodulation,[],[f8172,f4016]) ).
fof(f8172,plain,
( e20 = e22
| e21 = e23
| e23 = op2(e21,op2(e21,e23))
| ~ spl144_98
| ~ spl144_166
| ~ spl144_178
| ~ spl144_350
| ~ spl144_410
| ~ spl144_415 ),
inference(duplicate_literal_removal,[],[f8171]) ).
fof(f8171,plain,
( e20 = e22
| e20 = e22
| e21 = e23
| e23 = op2(e21,op2(e21,e23))
| ~ spl144_98
| ~ spl144_166
| ~ spl144_178
| ~ spl144_350
| ~ spl144_410
| ~ spl144_415 ),
inference(forward_demodulation,[],[f8022,f4016]) ).
fof(f8022,plain,
( e20 = e22
| e22 = op2(e21,e23)
| e21 = e23
| e23 = op2(e21,op2(e21,e23))
| ~ spl144_98
| ~ spl144_166
| ~ spl144_178
| ~ spl144_350
| ~ spl144_415 ),
inference(forward_demodulation,[],[f7913,f1912]) ).
fof(f7913,plain,
( e20 = h2(e12)
| e22 = op2(e21,e23)
| e21 = e23
| e23 = op2(e21,op2(e21,e23))
| ~ spl144_98
| ~ spl144_166
| ~ spl144_178
| ~ spl144_350
| ~ spl144_415 ),
inference(forward_demodulation,[],[f5161,f2242]) ).
fof(f5161,plain,
( e20 = op2(e21,e21)
| e22 = op2(e21,e23)
| e21 = e23
| e23 = op2(e21,op2(e21,e23))
| ~ spl144_98
| ~ spl144_178
| ~ spl144_350
| ~ spl144_415 ),
inference(forward_demodulation,[],[f5160,f2300]) ).
fof(f5160,plain,
( e22 = op2(e21,e23)
| e21 = e23
| e23 = op2(e21,op2(e21,e23))
| e20 = op2(e21,op2(e21,e20))
| ~ spl144_98
| ~ spl144_350
| ~ spl144_415 ),
inference(forward_demodulation,[],[f5159,f4215]) ).
fof(f5159,plain,
( e22 = op2(e21,h2(e11))
| e21 = e23
| e23 = op2(e21,op2(e21,e23))
| e20 = op2(e21,op2(e21,e20))
| ~ spl144_98
| ~ spl144_350
| ~ spl144_415 ),
inference(forward_demodulation,[],[f4443,f3840]) ).
fof(f4443,plain,
( e21 = e23
| e23 = op2(e21,op2(e21,e23))
| e22 = op2(e21,op2(e21,e22))
| e20 = op2(e21,op2(e21,e20))
| ~ spl144_415 ),
inference(forward_demodulation,[],[f1382,f4215]) ).
fof(f8140,plain,
( spl144_5
| spl144_2
| ~ spl144_98
| ~ spl144_166
| ~ spl144_178
| ~ spl144_388
| ~ spl144_410
| ~ spl144_415 ),
inference(avatar_split_clause,[],[f8021,f4213,f4014,f3432,f2299,f2240,f1910,f1447,f1462]) ).
fof(f8021,plain,
( e20 = e22
| e21 = e23
| ~ spl144_98
| ~ spl144_166
| ~ spl144_178
| ~ spl144_388
| ~ spl144_410
| ~ spl144_415 ),
inference(duplicate_literal_removal,[],[f8020]) ).
fof(f8020,plain,
( e20 = e22
| e20 = e22
| e21 = e23
| ~ spl144_98
| ~ spl144_166
| ~ spl144_178
| ~ spl144_388
| ~ spl144_410
| ~ spl144_415 ),
inference(forward_demodulation,[],[f8019,f4016]) ).
fof(f8019,plain,
( e22 = op2(e21,e23)
| e20 = e22
| e21 = e23
| ~ spl144_98
| ~ spl144_166
| ~ spl144_178
| ~ spl144_388
| ~ spl144_410
| ~ spl144_415 ),
inference(forward_demodulation,[],[f8018,f3434]) ).
fof(f8018,plain,
( e20 = e22
| e21 = e23
| e22 = op2(e21,op2(e21,e22))
| ~ spl144_98
| ~ spl144_166
| ~ spl144_178
| ~ spl144_410
| ~ spl144_415 ),
inference(forward_demodulation,[],[f7768,f1912]) ).
fof(f7768,plain,
( e20 = h2(e12)
| e21 = e23
| e22 = op2(e21,op2(e21,e22))
| ~ spl144_166
| ~ spl144_178
| ~ spl144_410
| ~ spl144_415 ),
inference(forward_demodulation,[],[f7767,f2242]) ).
fof(f7767,plain,
( e20 = op2(e21,e21)
| e21 = e23
| e22 = op2(e21,op2(e21,e22))
| ~ spl144_178
| ~ spl144_410
| ~ spl144_415 ),
inference(forward_demodulation,[],[f7361,f2300]) ).
fof(f7361,plain,
( e21 = e23
| e22 = op2(e21,op2(e21,e22))
| e20 = op2(e21,op2(e21,e20))
| ~ spl144_178
| ~ spl144_410
| ~ spl144_415 ),
inference(duplicate_literal_removal,[],[f7360]) ).
fof(f7360,plain,
( e21 = e23
| e21 = e23
| e22 = op2(e21,op2(e21,e22))
| e20 = op2(e21,op2(e21,e20))
| ~ spl144_178
| ~ spl144_410
| ~ spl144_415 ),
inference(forward_demodulation,[],[f6703,f2300]) ).
fof(f6703,plain,
( e23 = op2(e21,e20)
| e21 = e23
| e22 = op2(e21,op2(e21,e22))
| e20 = op2(e21,op2(e21,e20))
| ~ spl144_410
| ~ spl144_415 ),
inference(forward_demodulation,[],[f6702,f4016]) ).
fof(f6702,plain,
( e21 = e23
| e23 = op2(e21,op2(e21,e23))
| e22 = op2(e21,op2(e21,e22))
| e20 = op2(e21,op2(e21,e20))
| ~ spl144_415 ),
inference(forward_demodulation,[],[f1382,f4215]) ).
fof(f8123,plain,
( ~ spl144_106
| ~ spl144_178
| spl144_238 ),
inference(avatar_split_clause,[],[f3851,f2590,f2299,f1946]) ).
fof(f3851,plain,
( e21 != h2(e12)
| ~ spl144_178
| spl144_238 ),
inference(superposition,[],[f2592,f2300]) ).
fof(f8007,plain,
( spl144_2
| ~ spl144_98
| ~ spl144_166
| ~ spl144_399 ),
inference(avatar_split_clause,[],[f7985,f3557,f2240,f1910,f1447]) ).
fof(f7985,plain,
( e20 = e22
| ~ spl144_98
| ~ spl144_166
| ~ spl144_399 ),
inference(forward_demodulation,[],[f1912,f4455]) ).
fof(f4455,plain,
( e20 = h2(e12)
| ~ spl144_166
| ~ spl144_399 ),
inference(superposition,[],[f3558,f2242]) ).
fof(f3558,plain,
( e20 = op2(e21,e21)
| ~ spl144_399 ),
inference(avatar_component_clause,[],[f3557]) ).
fof(f7974,plain,
( spl144_2
| ~ spl144_96
| ~ spl144_165
| ~ spl144_421 ),
inference(avatar_split_clause,[],[f7945,f4463,f2235,f1901,f1447]) ).
fof(f7945,plain,
( e20 = e22
| ~ spl144_96
| ~ spl144_165
| ~ spl144_421 ),
inference(forward_demodulation,[],[f1902,f6851]) ).
fof(f6851,plain,
( e20 = h3(e12)
| ~ spl144_165
| ~ spl144_421 ),
inference(superposition,[],[f4465,f2237]) ).
fof(f4465,plain,
( e20 = op2(e22,e22)
| ~ spl144_421 ),
inference(avatar_component_clause,[],[f4463]) ).
fof(f7946,plain,
( spl144_2
| ~ spl144_98
| ~ spl144_166
| ~ spl144_361
| ~ spl144_393
| ~ spl144_395
| ~ spl144_410
| ~ spl144_415 ),
inference(avatar_split_clause,[],[f7930,f4213,f4014,f3500,f3479,f3241,f2240,f1910,f1447]) ).
fof(f7930,plain,
( e20 = e22
| ~ spl144_98
| ~ spl144_166
| ~ spl144_361
| ~ spl144_393
| ~ spl144_395
| ~ spl144_410
| ~ spl144_415 ),
inference(forward_demodulation,[],[f7929,f7925]) ).
fof(f7925,plain,
( e20 = e21
| ~ spl144_98
| ~ spl144_166
| ~ spl144_361
| ~ spl144_393
| ~ spl144_395
| ~ spl144_410
| ~ spl144_415 ),
inference(forward_demodulation,[],[f4435,f7877]) ).
fof(f7877,plain,
( e20 = h2(e10)
| ~ spl144_166
| ~ spl144_361
| ~ spl144_395
| ~ spl144_410
| ~ spl144_415 ),
inference(forward_demodulation,[],[f7876,f4016]) ).
fof(f7876,plain,
( op2(e21,e23) = h2(e10)
| ~ spl144_166
| ~ spl144_361
| ~ spl144_395
| ~ spl144_415 ),
inference(forward_demodulation,[],[f6721,f6773]) ).
fof(f6773,plain,
( e21 = h2(e12)
| ~ spl144_166
| ~ spl144_395 ),
inference(superposition,[],[f2242,f3501]) ).
fof(f6721,plain,
( h2(e10) = op2(h2(e12),e23)
| ~ spl144_361
| ~ spl144_415 ),
inference(superposition,[],[f3243,f4215]) ).
fof(f4435,plain,
( e21 = h2(e10)
| ~ spl144_98
| ~ spl144_361
| ~ spl144_393
| ~ spl144_415 ),
inference(forward_demodulation,[],[f4430,f3481]) ).
fof(f4430,plain,
( op2(e22,e23) = h2(e10)
| ~ spl144_98
| ~ spl144_361
| ~ spl144_415 ),
inference(forward_demodulation,[],[f4222,f1912]) ).
fof(f4222,plain,
( h2(e10) = op2(h2(e12),e23)
| ~ spl144_361
| ~ spl144_415 ),
inference(superposition,[],[f3243,f4215]) ).
fof(f7929,plain,
( e21 = e22
| ~ spl144_98
| ~ spl144_166
| ~ spl144_395 ),
inference(forward_demodulation,[],[f1912,f6773]) ).
fof(f7857,plain,
( spl144_3
| spl144_6
| spl144_5
| ~ spl144_106
| ~ spl144_178
| ~ spl144_390
| ~ spl144_410 ),
inference(avatar_split_clause,[],[f7779,f4014,f3460,f2299,f1946,f1462,f1467,f1452]) ).
fof(f7779,plain,
( e21 = e23
| e22 = e23
| e20 = e23
| ~ spl144_106
| ~ spl144_178
| ~ spl144_390
| ~ spl144_410 ),
inference(duplicate_literal_removal,[],[f7778]) ).
fof(f7778,plain,
( e21 = e23
| e22 = e23
| e20 = e23
| e21 = e23
| ~ spl144_106
| ~ spl144_178
| ~ spl144_390
| ~ spl144_410 ),
inference(forward_demodulation,[],[f6629,f2300]) ).
fof(f6629,plain,
( e22 = e23
| e20 = e23
| e21 = e23
| e23 = op2(e21,e20)
| ~ spl144_106
| ~ spl144_390
| ~ spl144_410 ),
inference(forward_demodulation,[],[f6628,f3462]) ).
fof(f6628,plain,
( e20 = e23
| e21 = e23
| e23 = op2(e21,e22)
| e23 = op2(e21,e20)
| ~ spl144_106
| ~ spl144_410 ),
inference(forward_demodulation,[],[f6627,f4016]) ).
fof(f7855,plain,
( ~ spl144_92
| ~ spl144_166
| spl144_401 ),
inference(avatar_split_clause,[],[f3641,f3575,f2240,f1883]) ).
fof(f1883,plain,
( spl144_92
<=> e23 = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_92])]) ).
fof(f3641,plain,
( e23 != h2(e12)
| ~ spl144_166
| spl144_401 ),
inference(superposition,[],[f3576,f2242]) ).
fof(f3576,plain,
( e23 != op2(e21,e21)
| spl144_401 ),
inference(avatar_component_clause,[],[f3575]) ).
fof(f7851,plain,
( spl144_414
| ~ spl144_90
| ~ spl144_349
| ~ spl144_360
| ~ spl144_368
| ~ spl144_393
| ~ spl144_445 ),
inference(avatar_split_clause,[],[f7850,f7846,f3479,f3291,f3236,f3174,f1874,f4034]) ).
fof(f7850,plain,
( e21 = op2(e23,e23)
| ~ spl144_90
| ~ spl144_349
| ~ spl144_360
| ~ spl144_368
| ~ spl144_393
| ~ spl144_445 ),
inference(forward_demodulation,[],[f7848,f7584]) ).
fof(f7584,plain,
( e23 = h3(e10)
| ~ spl144_90
| ~ spl144_349
| ~ spl144_360
| ~ spl144_368
| ~ spl144_393 ),
inference(forward_demodulation,[],[f4191,f3293]) ).
fof(f4191,plain,
( op2(e23,e21) = h3(e10)
| ~ spl144_90
| ~ spl144_349
| ~ spl144_360
| ~ spl144_393 ),
inference(forward_demodulation,[],[f3450,f4190]) ).
fof(f4190,plain,
( e21 = h3(e11)
| ~ spl144_90
| ~ spl144_349
| ~ spl144_393 ),
inference(forward_demodulation,[],[f3451,f3481]) ).
fof(f3451,plain,
( op2(e22,e23) = h3(e11)
| ~ spl144_90
| ~ spl144_349 ),
inference(superposition,[],[f3176,f1876]) ).
fof(f3450,plain,
( h3(e10) = op2(e23,h3(e11))
| ~ spl144_90
| ~ spl144_360 ),
inference(superposition,[],[f3238,f1876]) ).
fof(f7848,plain,
( e21 = op2(e23,h3(e10))
| ~ spl144_445 ),
inference(avatar_component_clause,[],[f7846]) ).
fof(f7849,plain,
( spl144_445
| ~ spl144_90
| ~ spl144_349
| ~ spl144_360
| ~ spl144_393
| ~ spl144_433 ),
inference(avatar_split_clause,[],[f5113,f5099,f3479,f3236,f3174,f1874,f7846]) ).
fof(f5113,plain,
( e21 = op2(e23,h3(e10))
| ~ spl144_90
| ~ spl144_349
| ~ spl144_360
| ~ spl144_393
| ~ spl144_433 ),
inference(forward_demodulation,[],[f5101,f4191]) ).
fof(f7816,plain,
( ~ spl144_114
| spl144_252
| ~ spl144_354 ),
inference(avatar_split_clause,[],[f3207,f3203,f2663,f1982]) ).
fof(f1982,plain,
( spl144_114
<=> e20 = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_114])]) ).
fof(f2663,plain,
( spl144_252
<=> op2(e22,e21) = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_252])]) ).
fof(f3207,plain,
( e20 != h2(e12)
| spl144_252
| ~ spl144_354 ),
inference(superposition,[],[f2665,f3205]) ).
fof(f2665,plain,
( op2(e22,e21) != h2(e12)
| spl144_252 ),
inference(avatar_component_clause,[],[f2663]) ).
fof(f7743,plain,
( spl144_4
| ~ spl144_100
| ~ spl144_348
| ~ spl144_389
| ~ spl144_444 ),
inference(avatar_split_clause,[],[f7389,f7058,f3456,f3169,f1919,f1457]) ).
fof(f7389,plain,
( e21 = e22
| ~ spl144_100
| ~ spl144_348
| ~ spl144_389
| ~ spl144_444 ),
inference(forward_demodulation,[],[f5600,f7060]) ).
fof(f5600,plain,
( e22 = h1(e11)
| ~ spl144_100
| ~ spl144_348
| ~ spl144_389 ),
inference(forward_demodulation,[],[f3844,f3458]) ).
fof(f7590,plain,
( spl144_3
| ~ spl144_90
| ~ spl144_165
| ~ spl144_421 ),
inference(avatar_split_clause,[],[f7588,f4463,f2235,f1874,f1452]) ).
fof(f7588,plain,
( e20 = e23
| ~ spl144_90
| ~ spl144_165
| ~ spl144_421 ),
inference(forward_demodulation,[],[f1876,f6851]) ).
fof(f7589,plain,
( ~ spl144_175
| ~ spl144_368 ),
inference(avatar_split_clause,[],[f6137,f3291,f2286]) ).
fof(f6137,plain,
( ~ sP13
| ~ spl144_368 ),
inference(trivial_inequality_removal,[],[f6136]) ).
fof(f6136,plain,
( e23 != e23
| ~ sP13
| ~ spl144_368 ),
inference(forward_demodulation,[],[f877,f3293]) ).
fof(f877,plain,
( e23 != op2(e23,e21)
| ~ sP13 ),
inference(cnf_transformation,[],[f244]) ).
fof(f7303,plain,
( spl144_1
| ~ spl144_357
| ~ spl144_413 ),
inference(avatar_split_clause,[],[f7279,f4030,f3221,f1442]) ).
fof(f7279,plain,
( e20 = e21
| ~ spl144_357
| ~ spl144_413 ),
inference(forward_demodulation,[],[f4032,f3222]) ).
fof(f7204,plain,
( spl144_329
| ~ spl144_100
| ~ spl144_348
| ~ spl144_387
| ~ spl144_444 ),
inference(avatar_split_clause,[],[f7154,f7058,f3428,f3169,f1919,f3071]) ).
fof(f7154,plain,
( e21 = op2(e20,e22)
| ~ spl144_100
| ~ spl144_348
| ~ spl144_387
| ~ spl144_444 ),
inference(forward_demodulation,[],[f3430,f7150]) ).
fof(f7150,plain,
( e21 = e23
| ~ spl144_100
| ~ spl144_348
| ~ spl144_387
| ~ spl144_444 ),
inference(forward_demodulation,[],[f3848,f7060]) ).
fof(f7139,plain,
( spl144_3
| ~ spl144_366
| ~ spl144_411 ),
inference(avatar_split_clause,[],[f7130,f4018,f3277,f1452]) ).
fof(f3277,plain,
( spl144_366
<=> e23 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_366])]) ).
fof(f4018,plain,
( spl144_411
<=> e20 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_411])]) ).
fof(f7130,plain,
( e20 = e23
| ~ spl144_366
| ~ spl144_411 ),
inference(superposition,[],[f4020,f3279]) ).
fof(f3279,plain,
( e23 = op2(e22,e23)
| ~ spl144_366 ),
inference(avatar_component_clause,[],[f3277]) ).
fof(f4020,plain,
( e20 = op2(e22,e23)
| ~ spl144_411 ),
inference(avatar_component_clause,[],[f4018]) ).
fof(f7128,plain,
( spl144_3
| spl144_6
| ~ spl144_100
| ~ spl144_174
| ~ spl144_357
| ~ spl144_404 ),
inference(avatar_split_clause,[],[f7095,f3662,f3221,f2281,f1919,f1467,f1452]) ).
fof(f7095,plain,
( e22 = e23
| e20 = e23
| ~ spl144_100
| ~ spl144_174
| ~ spl144_357
| ~ spl144_404 ),
inference(duplicate_literal_removal,[],[f7094]) ).
fof(f7094,plain,
( e22 = e23
| e20 = e23
| e22 = e23
| ~ spl144_100
| ~ spl144_174
| ~ spl144_357
| ~ spl144_404 ),
inference(forward_demodulation,[],[f5997,f3664]) ).
fof(f5997,plain,
( e20 = e23
| e22 = e23
| e23 = op2(e20,e21)
| ~ spl144_100
| ~ spl144_174
| ~ spl144_357 ),
inference(duplicate_literal_removal,[],[f5996]) ).
fof(f5996,plain,
( e20 = e23
| e20 = e23
| e22 = e23
| e23 = op2(e20,e21)
| ~ spl144_100
| ~ spl144_174
| ~ spl144_357 ),
inference(forward_demodulation,[],[f5995,f2283]) ).
fof(f5995,plain,
( e20 = e23
| e22 = e23
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| ~ spl144_100
| ~ spl144_357 ),
inference(forward_demodulation,[],[f5994,f3222]) ).
fof(f7068,plain,
( spl144_366
| spl144_6
| spl144_3
| spl144_5
| ~ spl144_96
| ~ spl144_354
| ~ spl144_391 ),
inference(avatar_split_clause,[],[f7008,f3471,f3203,f1901,f1462,f1452,f1467,f3277]) ).
fof(f7008,plain,
( e21 = e23
| e20 = e23
| e22 = e23
| e23 = op2(e22,e23)
| ~ spl144_96
| ~ spl144_354
| ~ spl144_391 ),
inference(forward_demodulation,[],[f7007,f3473]) ).
fof(f7007,plain,
( e20 = e23
| e22 = e23
| e23 = op2(e22,e23)
| e23 = op2(e22,e20)
| ~ spl144_96
| ~ spl144_354 ),
inference(forward_demodulation,[],[f3535,f3205]) ).
fof(f3535,plain,
( e22 = e23
| e23 = op2(e22,e23)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20)
| ~ spl144_96 ),
inference(forward_demodulation,[],[f1231,f1902]) ).
fof(f7061,plain,
( spl144_413
| spl144_444
| spl144_4
| ~ spl144_100
| ~ spl144_348
| ~ spl144_404 ),
inference(avatar_split_clause,[],[f7055,f3662,f3169,f1919,f1457,f7058,f4030]) ).
fof(f7055,plain,
( e21 = e22
| e21 = h1(e11)
| e21 = op2(e20,e23)
| ~ spl144_100
| ~ spl144_348
| ~ spl144_404 ),
inference(duplicate_literal_removal,[],[f7054]) ).
fof(f7054,plain,
( e21 = e22
| e21 = h1(e11)
| e21 = e22
| e21 = op2(e20,e23)
| ~ spl144_100
| ~ spl144_348
| ~ spl144_404 ),
inference(forward_demodulation,[],[f6892,f3664]) ).
fof(f6892,plain,
( e21 = h1(e11)
| e21 = e22
| e21 = op2(e20,e23)
| e21 = op2(e20,e21)
| ~ spl144_100
| ~ spl144_348 ),
inference(forward_demodulation,[],[f6891,f5878]) ).
fof(f6891,plain,
( e21 = e22
| e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| ~ spl144_100 ),
inference(forward_demodulation,[],[f1251,f1921]) ).
fof(f1251,plain,
( e21 = h1(e12)
| e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21) ),
inference(forward_demodulation,[],[f524,f407]) ).
fof(f524,plain,
( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f4]) ).
fof(f7053,plain,
( spl144_413
| spl144_1
| spl144_4
| ~ spl144_100
| ~ spl144_348
| ~ spl144_404
| ~ spl144_441 ),
inference(avatar_split_clause,[],[f7017,f6748,f3662,f3169,f1919,f1457,f1442,f4030]) ).
fof(f7017,plain,
( e21 = e22
| e20 = e21
| e21 = op2(e20,e23)
| ~ spl144_100
| ~ spl144_348
| ~ spl144_404
| ~ spl144_441 ),
inference(duplicate_literal_removal,[],[f7016]) ).
fof(f7016,plain,
( e21 = e22
| e20 = e21
| e21 = e22
| e21 = op2(e20,e23)
| ~ spl144_100
| ~ spl144_348
| ~ spl144_404
| ~ spl144_441 ),
inference(forward_demodulation,[],[f7015,f3664]) ).
fof(f7015,plain,
( e20 = e21
| e21 = e22
| e21 = op2(e20,e23)
| e21 = op2(e20,e21)
| ~ spl144_100
| ~ spl144_348
| ~ spl144_441 ),
inference(forward_demodulation,[],[f6892,f6749]) ).
fof(f6749,plain,
( e20 = h1(e11)
| ~ spl144_441 ),
inference(avatar_component_clause,[],[f6748]) ).
fof(f7003,plain,
( spl144_409
| ~ spl144_100
| ~ spl144_359
| ~ spl144_366
| ~ spl144_391
| ~ spl144_413
| ~ spl144_441
| ~ spl144_442 ),
inference(avatar_split_clause,[],[f6997,f6782,f6748,f4030,f3471,f3277,f3231,f1919,f3715]) ).
fof(f3715,plain,
( spl144_409
<=> e20 = op2(e20,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_409])]) ).
fof(f6997,plain,
( e20 = op2(e20,e20)
| ~ spl144_100
| ~ spl144_359
| ~ spl144_366
| ~ spl144_391
| ~ spl144_413
| ~ spl144_441
| ~ spl144_442 ),
inference(forward_demodulation,[],[f6996,f6865]) ).
fof(f6865,plain,
( e20 = e21
| ~ spl144_100
| ~ spl144_359
| ~ spl144_366
| ~ spl144_391
| ~ spl144_441
| ~ spl144_442 ),
inference(forward_demodulation,[],[f6864,f6859]) ).
fof(f6859,plain,
( e20 = e23
| ~ spl144_441
| ~ spl144_442 ),
inference(superposition,[],[f6749,f6784]) ).
fof(f6864,plain,
( e21 = e23
| ~ spl144_100
| ~ spl144_359
| ~ spl144_366
| ~ spl144_391
| ~ spl144_441
| ~ spl144_442 ),
inference(forward_demodulation,[],[f6863,f3473]) ).
fof(f6863,plain,
( e23 = op2(e22,e20)
| ~ spl144_100
| ~ spl144_359
| ~ spl144_366
| ~ spl144_441
| ~ spl144_442 ),
inference(forward_demodulation,[],[f6862,f6789]) ).
fof(f6789,plain,
( e23 = h1(e10)
| ~ spl144_100
| ~ spl144_359
| ~ spl144_366
| ~ spl144_442 ),
inference(forward_demodulation,[],[f6788,f3279]) ).
fof(f6788,plain,
( op2(e22,e23) = h1(e10)
| ~ spl144_100
| ~ spl144_359
| ~ spl144_442 ),
inference(forward_demodulation,[],[f6787,f1921]) ).
fof(f6787,plain,
( h1(e10) = op2(h1(e12),e23)
| ~ spl144_359
| ~ spl144_442 ),
inference(superposition,[],[f3233,f6784]) ).
fof(f6862,plain,
( op2(e22,e20) = h1(e10)
| ~ spl144_100
| ~ spl144_359
| ~ spl144_441 ),
inference(forward_demodulation,[],[f6861,f1921]) ).
fof(f6861,plain,
( h1(e10) = op2(h1(e12),e20)
| ~ spl144_359
| ~ spl144_441 ),
inference(superposition,[],[f3233,f6749]) ).
fof(f6996,plain,
( op2(e20,e20) = e21
| ~ spl144_100
| ~ spl144_359
| ~ spl144_366
| ~ spl144_391
| ~ spl144_413
| ~ spl144_441
| ~ spl144_442 ),
inference(forward_demodulation,[],[f4032,f6981]) ).
fof(f6981,plain,
( e20 = e23
| ~ spl144_100
| ~ spl144_359
| ~ spl144_366
| ~ spl144_391
| ~ spl144_441
| ~ spl144_442 ),
inference(forward_demodulation,[],[f6952,f6865]) ).
fof(f6952,plain,
( e21 = e23
| ~ spl144_100
| ~ spl144_359
| ~ spl144_366
| ~ spl144_391
| ~ spl144_441
| ~ spl144_442 ),
inference(forward_demodulation,[],[f6951,f3473]) ).
fof(f6951,plain,
( e23 = op2(e22,e20)
| ~ spl144_100
| ~ spl144_359
| ~ spl144_366
| ~ spl144_441
| ~ spl144_442 ),
inference(forward_demodulation,[],[f6950,f6789]) ).
fof(f6950,plain,
( op2(e22,e20) = h1(e10)
| ~ spl144_100
| ~ spl144_359
| ~ spl144_441 ),
inference(forward_demodulation,[],[f6949,f1921]) ).
fof(f6949,plain,
( h1(e10) = op2(h1(e12),e20)
| ~ spl144_359
| ~ spl144_441 ),
inference(superposition,[],[f3233,f6749]) ).
fof(f6980,plain,
( spl144_6
| ~ spl144_442
| ~ spl144_443 ),
inference(avatar_split_clause,[],[f6913,f6907,f6782,f1467]) ).
fof(f6913,plain,
( e22 = e23
| ~ spl144_442
| ~ spl144_443 ),
inference(superposition,[],[f6909,f6784]) ).
fof(f6972,plain,
( spl144_374
| spl144_25
| spl144_23
| ~ spl144_371
| ~ spl144_382
| ~ spl144_425 ),
inference(avatar_split_clause,[],[f5807,f4498,f3391,f3313,f1552,f1562,f3331]) ).
fof(f5807,plain,
( e10 = e11
| e10 = e13
| e10 = op1(e13,e13)
| ~ spl144_371
| ~ spl144_382
| ~ spl144_425 ),
inference(duplicate_literal_removal,[],[f5806]) ).
fof(f5806,plain,
( e10 = e11
| e10 = e13
| e10 = e11
| e10 = op1(e13,e13)
| ~ spl144_371
| ~ spl144_382
| ~ spl144_425 ),
inference(forward_demodulation,[],[f5805,f4500]) ).
fof(f5805,plain,
( e10 = e13
| e10 = e11
| e10 = op1(e13,e13)
| e10 = op1(e10,e13)
| ~ spl144_371
| ~ spl144_382 ),
inference(forward_demodulation,[],[f4947,f3315]) ).
fof(f6954,plain,
( spl144_1
| ~ spl144_358
| ~ spl144_410 ),
inference(avatar_split_clause,[],[f6272,f4014,f3226,f1442]) ).
fof(f6272,plain,
( e20 = e21
| ~ spl144_358
| ~ spl144_410 ),
inference(superposition,[],[f4016,f3227]) ).
fof(f6922,plain,
( spl144_413
| spl144_5
| spl144_4
| ~ spl144_100
| ~ spl144_348
| ~ spl144_404
| ~ spl144_442 ),
inference(avatar_split_clause,[],[f6895,f6782,f3662,f3169,f1919,f1457,f1462,f4030]) ).
fof(f6895,plain,
( e21 = e22
| e21 = e23
| e21 = op2(e20,e23)
| ~ spl144_100
| ~ spl144_348
| ~ spl144_404
| ~ spl144_442 ),
inference(duplicate_literal_removal,[],[f6894]) ).
fof(f6894,plain,
( e21 = e22
| e21 = e23
| e21 = e22
| e21 = op2(e20,e23)
| ~ spl144_100
| ~ spl144_348
| ~ spl144_404
| ~ spl144_442 ),
inference(forward_demodulation,[],[f6893,f3664]) ).
fof(f6893,plain,
( e21 = e23
| e21 = e22
| e21 = op2(e20,e23)
| e21 = op2(e20,e21)
| ~ spl144_100
| ~ spl144_348
| ~ spl144_442 ),
inference(forward_demodulation,[],[f6892,f6784]) ).
fof(f6911,plain,
( ~ spl144_441
| spl144_116
| ~ spl144_205
| ~ spl144_427 ),
inference(avatar_split_clause,[],[f5167,f4509,f2427,f1991,f6748]) ).
fof(f5167,plain,
( e20 != h1(e11)
| spl144_116
| ~ spl144_205
| ~ spl144_427 ),
inference(forward_demodulation,[],[f1993,f5091]) ).
fof(f5091,plain,
( e11 = e12
| ~ spl144_205
| ~ spl144_427 ),
inference(superposition,[],[f2429,f4511]) ).
fof(f1993,plain,
( e20 != h1(e12)
| spl144_116 ),
inference(avatar_component_clause,[],[f1991]) ).
fof(f6910,plain,
( spl144_443
| ~ spl144_100
| ~ spl144_205
| ~ spl144_427 ),
inference(avatar_split_clause,[],[f5144,f4509,f2427,f1919,f6907]) ).
fof(f5144,plain,
( e22 = h1(e11)
| ~ spl144_100
| ~ spl144_205
| ~ spl144_427 ),
inference(forward_demodulation,[],[f1921,f5091]) ).
fof(f6889,plain,
( spl144_2
| ~ spl144_100
| ~ spl144_205
| ~ spl144_427
| ~ spl144_441 ),
inference(avatar_split_clause,[],[f6885,f6748,f4509,f2427,f1919,f1447]) ).
fof(f6885,plain,
( e20 = e22
| ~ spl144_100
| ~ spl144_205
| ~ spl144_427
| ~ spl144_441 ),
inference(forward_demodulation,[],[f5144,f6749]) ).
fof(f6876,plain,
( ~ spl144_430
| ~ spl144_205 ),
inference(avatar_split_clause,[],[f1155,f2427,f4549]) ).
fof(f4549,plain,
( spl144_430
<=> sP78 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_430])]) ).
fof(f1155,plain,
( e11 != op1(e11,e10)
| ~ sP78 ),
inference(cnf_transformation,[],[f311]) ).
fof(f311,plain,
( ( e13 != op1(e13,e10)
& e12 != op1(e12,e10)
& e11 != op1(e11,e10)
& e10 != op1(e10,e10) )
| ~ sP78 ),
inference(nnf_transformation,[],[f101]) ).
fof(f6866,plain,
( spl144_431
| spl144_437
| spl144_24
| spl144_25
| ~ spl144_188
| ~ spl144_375 ),
inference(avatar_split_clause,[],[f5808,f3343,f2346,f1562,f1557,f5467,f5076]) ).
fof(f5467,plain,
( spl144_437
<=> e10 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_437])]) ).
fof(f5808,plain,
( e10 = e13
| e10 = e12
| e10 = op1(e13,e12)
| e10 = op1(e11,e12)
| ~ spl144_188
| ~ spl144_375 ),
inference(forward_demodulation,[],[f4538,f3345]) ).
fof(f4538,plain,
( e10 = e12
| e10 = op1(e13,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12)
| ~ spl144_188 ),
inference(forward_demodulation,[],[f587,f2348]) ).
fof(f587,plain,
( e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f6858,plain,
( spl144_441
| spl144_6
| spl144_5
| spl144_4
| ~ spl144_100
| ~ spl144_348
| ~ spl144_404
| ~ spl144_413
| ~ spl144_442 ),
inference(avatar_split_clause,[],[f6799,f6782,f4030,f3662,f3169,f1919,f1457,f1462,f1467,f6748]) ).
fof(f6799,plain,
( e21 = e22
| e21 = e23
| e22 = e23
| e20 = h1(e11)
| ~ spl144_100
| ~ spl144_348
| ~ spl144_404
| ~ spl144_413
| ~ spl144_442 ),
inference(forward_demodulation,[],[f6798,f4032]) ).
fof(f6798,plain,
( e22 = op2(e20,e23)
| e21 = e23
| e22 = e23
| e20 = h1(e11)
| ~ spl144_100
| ~ spl144_348
| ~ spl144_404
| ~ spl144_413
| ~ spl144_442 ),
inference(forward_demodulation,[],[f6797,f6784]) ).
fof(f6797,plain,
( e21 = e23
| e22 = op2(e20,h1(e11))
| e22 = e23
| e20 = h1(e11)
| ~ spl144_100
| ~ spl144_348
| ~ spl144_404
| ~ spl144_413
| ~ spl144_442 ),
inference(forward_demodulation,[],[f6710,f6784]) ).
fof(f6710,plain,
( e21 = h1(e11)
| e22 = op2(e20,h1(e11))
| e22 = e23
| e20 = h1(e11)
| ~ spl144_100
| ~ spl144_348
| ~ spl144_404
| ~ spl144_413 ),
inference(forward_demodulation,[],[f6709,f5878]) ).
fof(f6709,plain,
( e21 = op2(e20,e22)
| e22 = op2(e20,h1(e11))
| e22 = e23
| e20 = h1(e11)
| ~ spl144_100
| ~ spl144_348
| ~ spl144_404
| ~ spl144_413 ),
inference(forward_demodulation,[],[f6708,f3664]) ).
fof(f6708,plain,
( e22 = op2(e20,h1(e11))
| e22 = e23
| e20 = h1(e11)
| e21 = op2(e20,op2(e20,e21))
| ~ spl144_100
| ~ spl144_348
| ~ spl144_404
| ~ spl144_413 ),
inference(forward_demodulation,[],[f6660,f5878]) ).
fof(f6849,plain,
( spl144_6
| ~ spl144_96
| ~ spl144_165
| ~ spl144_423 ),
inference(avatar_split_clause,[],[f6847,f4471,f2235,f1901,f1467]) ).
fof(f6847,plain,
( e22 = e23
| ~ spl144_96
| ~ spl144_165
| ~ spl144_423 ),
inference(forward_demodulation,[],[f6842,f1902]) ).
fof(f6842,plain,
( e23 = h3(e12)
| ~ spl144_165
| ~ spl144_423 ),
inference(superposition,[],[f4473,f2237]) ).
fof(f4473,plain,
( e23 = op2(e22,e22)
| ~ spl144_423 ),
inference(avatar_component_clause,[],[f4471]) ).
fof(f6825,plain,
( ~ spl144_356
| ~ spl144_96 ),
inference(avatar_split_clause,[],[f6815,f1901,f3217]) ).
fof(f6815,plain,
( ~ sP14
| ~ spl144_96 ),
inference(trivial_inequality_removal,[],[f6814]) ).
fof(f6814,plain,
( e22 != e22
| ~ sP14
| ~ spl144_96 ),
inference(forward_demodulation,[],[f1370,f1902]) ).
fof(f6812,plain,
( spl144_4
| ~ spl144_96
| ~ spl144_165
| ~ spl144_394 ),
inference(avatar_split_clause,[],[f6811,f3494,f2235,f1901,f1457]) ).
fof(f3494,plain,
( spl144_394
<=> e21 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_394])]) ).
fof(f6811,plain,
( e21 = e22
| ~ spl144_96
| ~ spl144_165
| ~ spl144_394 ),
inference(forward_demodulation,[],[f1902,f4475]) ).
fof(f4475,plain,
( e21 = h3(e12)
| ~ spl144_165
| ~ spl144_394 ),
inference(superposition,[],[f3495,f2237]) ).
fof(f3495,plain,
( e21 = op2(e22,e22)
| ~ spl144_394 ),
inference(avatar_component_clause,[],[f3494]) ).
fof(f6796,plain,
( spl144_6
| ~ spl144_388
| ~ spl144_390 ),
inference(avatar_split_clause,[],[f6795,f3460,f3432,f1467]) ).
fof(f6795,plain,
( e22 = e23
| ~ spl144_388
| ~ spl144_390 ),
inference(forward_demodulation,[],[f3434,f3462]) ).
fof(f6790,plain,
( spl144_243
| spl144_2
| spl144_6
| spl144_4
| ~ spl144_90
| ~ spl144_354
| ~ spl144_391 ),
inference(avatar_split_clause,[],[f6292,f3471,f3203,f1874,f1457,f1467,f1447,f2616]) ).
fof(f2616,plain,
( spl144_243
<=> e22 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_243])]) ).
fof(f6292,plain,
( e21 = e22
| e22 = e23
| e20 = e22
| e22 = op2(e22,e23)
| ~ spl144_90
| ~ spl144_354
| ~ spl144_391 ),
inference(forward_demodulation,[],[f4239,f3473]) ).
fof(f4239,plain,
( e22 = e23
| e20 = e22
| e22 = op2(e22,e23)
| e22 = op2(e22,e20)
| ~ spl144_90
| ~ spl144_354 ),
inference(forward_demodulation,[],[f4188,f1876]) ).
fof(f4188,plain,
( e20 = e22
| e22 = h3(e12)
| e22 = op2(e22,e23)
| e22 = op2(e22,e20)
| ~ spl144_354 ),
inference(forward_demodulation,[],[f1233,f3205]) ).
fof(f1233,plain,
( e22 = h3(e12)
| e22 = op2(e22,e23)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) ),
inference(forward_demodulation,[],[f542,f411]) ).
fof(f542,plain,
( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f6785,plain,
( spl144_442
| spl144_5
| spl144_6
| ~ spl144_100
| ~ spl144_348
| ~ spl144_404
| ~ spl144_413 ),
inference(avatar_split_clause,[],[f6707,f4030,f3662,f3169,f1919,f1467,f1462,f6782]) ).
fof(f6707,plain,
( e22 = e23
| e21 = e23
| e23 = h1(e11)
| ~ spl144_100
| ~ spl144_348
| ~ spl144_404
| ~ spl144_413 ),
inference(duplicate_literal_removal,[],[f6706]) ).
fof(f6706,plain,
( e22 = e23
| e21 = e23
| e23 = h1(e11)
| e22 = e23
| ~ spl144_100
| ~ spl144_348
| ~ spl144_404
| ~ spl144_413 ),
inference(forward_demodulation,[],[f6333,f3664]) ).
fof(f6777,plain,
( spl144_5
| spl144_6
| spl144_3
| ~ spl144_106
| ~ spl144_390
| ~ spl144_410
| ~ spl144_438 ),
inference(avatar_split_clause,[],[f6716,f6055,f4014,f3460,f1946,f1452,f1467,f1462]) ).
fof(f6716,plain,
( e20 = e23
| e22 = e23
| e21 = e23
| ~ spl144_106
| ~ spl144_390
| ~ spl144_410
| ~ spl144_438 ),
inference(duplicate_literal_removal,[],[f6715]) ).
fof(f6715,plain,
( e20 = e23
| e22 = e23
| e20 = e23
| e21 = e23
| ~ spl144_106
| ~ spl144_390
| ~ spl144_410
| ~ spl144_438 ),
inference(forward_demodulation,[],[f6629,f6057]) ).
fof(f6760,plain,
( spl144_3
| spl144_5
| ~ spl144_106
| ~ spl144_166
| ~ spl144_390
| ~ spl144_410
| ~ spl144_420
| ~ spl144_438 ),
inference(avatar_split_clause,[],[f6754,f6055,f4418,f4014,f3460,f2240,f1946,f1462,f1452]) ).
fof(f6754,plain,
( e21 = e23
| e20 = e23
| ~ spl144_106
| ~ spl144_166
| ~ spl144_390
| ~ spl144_410
| ~ spl144_420
| ~ spl144_438 ),
inference(duplicate_literal_removal,[],[f6753]) ).
fof(f6753,plain,
( e21 = e23
| e20 = e23
| e21 = e23
| ~ spl144_106
| ~ spl144_166
| ~ spl144_390
| ~ spl144_410
| ~ spl144_420
| ~ spl144_438 ),
inference(forward_demodulation,[],[f6716,f6741]) ).
fof(f6752,plain,
( spl144_6
| ~ spl144_415
| ~ spl144_439 ),
inference(avatar_split_clause,[],[f6724,f6600,f4213,f1467]) ).
fof(f6600,plain,
( spl144_439
<=> e22 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_439])]) ).
fof(f6724,plain,
( e22 = e23
| ~ spl144_415
| ~ spl144_439 ),
inference(superposition,[],[f6602,f4215]) ).
fof(f6602,plain,
( e22 = h2(e11)
| ~ spl144_439 ),
inference(avatar_component_clause,[],[f6600]) ).
fof(f6751,plain,
( ~ spl144_356
| ~ spl144_441
| ~ spl144_100
| ~ spl144_348 ),
inference(avatar_split_clause,[],[f6155,f3169,f1919,f6748,f3217]) ).
fof(f6155,plain,
( e20 != h1(e11)
| ~ sP14
| ~ spl144_100
| ~ spl144_348 ),
inference(forward_demodulation,[],[f870,f5878]) ).
fof(f6684,plain,
( spl144_2
| ~ spl144_439
| ~ spl144_440 ),
inference(avatar_split_clause,[],[f6623,f6606,f6600,f1447]) ).
fof(f6606,plain,
( spl144_440
<=> e20 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_440])]) ).
fof(f6623,plain,
( e20 = e22
| ~ spl144_439
| ~ spl144_440 ),
inference(forward_demodulation,[],[f6602,f6608]) ).
fof(f6608,plain,
( e20 = h2(e11)
| ~ spl144_440 ),
inference(avatar_component_clause,[],[f6606]) ).
fof(f6620,plain,
( spl144_6
| ~ spl144_100
| ~ spl144_164
| ~ spl144_403 ),
inference(avatar_split_clause,[],[f6002,f3655,f2230,f1919,f1467]) ).
fof(f6002,plain,
( e22 = e23
| ~ spl144_100
| ~ spl144_164
| ~ spl144_403 ),
inference(forward_demodulation,[],[f5918,f1921]) ).
fof(f5918,plain,
( e23 = h1(e12)
| ~ spl144_164
| ~ spl144_403 ),
inference(superposition,[],[f2232,f3657]) ).
fof(f6609,plain,
( spl144_440
| ~ spl144_100
| ~ spl144_106
| ~ spl144_164
| ~ spl144_361
| ~ spl144_390
| ~ spl144_403
| ~ spl144_410
| ~ spl144_415
| ~ spl144_439 ),
inference(avatar_split_clause,[],[f6604,f6600,f4213,f4014,f3655,f3460,f3241,f2230,f1946,f1919,f6606]) ).
fof(f6604,plain,
( e20 = h2(e11)
| ~ spl144_100
| ~ spl144_106
| ~ spl144_164
| ~ spl144_361
| ~ spl144_390
| ~ spl144_403
| ~ spl144_410
| ~ spl144_415
| ~ spl144_439 ),
inference(forward_demodulation,[],[f6602,f6496]) ).
fof(f6496,plain,
( e20 = e22
| ~ spl144_100
| ~ spl144_106
| ~ spl144_164
| ~ spl144_361
| ~ spl144_390
| ~ spl144_403
| ~ spl144_410
| ~ spl144_415 ),
inference(forward_demodulation,[],[f6495,f4016]) ).
fof(f6495,plain,
( e22 = op2(e21,e23)
| ~ spl144_100
| ~ spl144_106
| ~ spl144_164
| ~ spl144_361
| ~ spl144_390
| ~ spl144_403
| ~ spl144_415 ),
inference(forward_demodulation,[],[f4264,f6486]) ).
fof(f6486,plain,
( e22 = h2(e10)
| ~ spl144_100
| ~ spl144_106
| ~ spl144_164
| ~ spl144_361
| ~ spl144_390
| ~ spl144_403
| ~ spl144_415 ),
inference(forward_demodulation,[],[f6477,f3462]) ).
fof(f6477,plain,
( op2(e21,e22) = h2(e10)
| ~ spl144_100
| ~ spl144_106
| ~ spl144_164
| ~ spl144_361
| ~ spl144_403
| ~ spl144_415 ),
inference(forward_demodulation,[],[f3696,f6427]) ).
fof(f6427,plain,
( e22 = h2(e11)
| ~ spl144_100
| ~ spl144_164
| ~ spl144_403
| ~ spl144_415 ),
inference(forward_demodulation,[],[f4215,f6002]) ).
fof(f3696,plain,
( h2(e10) = op2(e21,h2(e11))
| ~ spl144_106
| ~ spl144_361 ),
inference(superposition,[],[f3243,f1947]) ).
fof(f4264,plain,
( op2(e21,e23) = h2(e10)
| ~ spl144_106
| ~ spl144_361
| ~ spl144_415 ),
inference(forward_demodulation,[],[f3696,f4215]) ).
fof(f6603,plain,
( spl144_439
| ~ spl144_100
| ~ spl144_164
| ~ spl144_403
| ~ spl144_415 ),
inference(avatar_split_clause,[],[f6427,f4213,f3655,f2230,f1919,f6600]) ).
fof(f6531,plain,
( spl144_26
| ~ spl144_424
| ~ spl144_426 ),
inference(avatar_split_clause,[],[f5977,f4505,f4494,f1567]) ).
fof(f5977,plain,
( e11 = e12
| ~ spl144_424
| ~ spl144_426 ),
inference(superposition,[],[f4507,f4496]) ).
fof(f6483,plain,
( spl144_1
| ~ spl144_106
| ~ spl144_166
| ~ spl144_399 ),
inference(avatar_split_clause,[],[f6481,f3557,f2240,f1946,f1442]) ).
fof(f6481,plain,
( e20 = e21
| ~ spl144_106
| ~ spl144_166
| ~ spl144_399 ),
inference(forward_demodulation,[],[f1947,f4455]) ).
fof(f6426,plain,
( spl144_5
| ~ spl144_415
| ~ spl144_417 ),
inference(avatar_split_clause,[],[f4432,f4356,f4213,f1462]) ).
fof(f4432,plain,
( e21 = e23
| ~ spl144_415
| ~ spl144_417 ),
inference(forward_demodulation,[],[f4215,f4358]) ).
fof(f6357,plain,
( spl144_2
| spl144_355
| spl144_3
| ~ spl144_100
| ~ spl144_164
| ~ spl144_403
| ~ spl144_416 ),
inference(avatar_split_clause,[],[f6336,f4314,f3655,f2230,f1919,f1452,f3212,f1447]) ).
fof(f3212,plain,
( spl144_355
<=> e20 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_355])]) ).
fof(f6336,plain,
( e20 = e23
| e20 = op2(e22,e20)
| e20 = e22
| ~ spl144_100
| ~ spl144_164
| ~ spl144_403
| ~ spl144_416 ),
inference(forward_demodulation,[],[f6019,f4316]) ).
fof(f6019,plain,
( e20 = op2(e22,e20)
| e20 = e22
| e20 = op2(e21,e20)
| ~ spl144_100
| ~ spl144_164
| ~ spl144_403 ),
inference(duplicate_literal_removal,[],[f6018]) ).
fof(f6018,plain,
( e20 = op2(e22,e20)
| e20 = e22
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| ~ spl144_100
| ~ spl144_164
| ~ spl144_403 ),
inference(forward_demodulation,[],[f6017,f6002]) ).
fof(f6352,plain,
( spl144_419
| ~ spl144_100
| ~ spl144_164
| ~ spl144_403 ),
inference(avatar_split_clause,[],[f6348,f3655,f2230,f1919,f4406]) ).
fof(f6348,plain,
( op2(e20,e20) = e22
| ~ spl144_100
| ~ spl144_164
| ~ spl144_403 ),
inference(forward_demodulation,[],[f3657,f6002]) ).
fof(f6326,plain,
( spl144_6
| spl144_5
| ~ spl144_100
| ~ spl144_164
| ~ spl144_348
| ~ spl144_406
| ~ spl144_413
| ~ spl144_418
| ~ spl144_424
| ~ spl144_426 ),
inference(avatar_split_clause,[],[f6308,f4505,f4494,f4402,f4030,f3673,f3169,f2230,f1919,f1462,f1467]) ).
fof(f6308,plain,
( e21 = e23
| e22 = e23
| ~ spl144_100
| ~ spl144_164
| ~ spl144_348
| ~ spl144_406
| ~ spl144_413
| ~ spl144_418
| ~ spl144_424
| ~ spl144_426 ),
inference(duplicate_literal_removal,[],[f6307]) ).
fof(f6307,plain,
( e21 = e23
| e21 = e23
| e22 = e23
| ~ spl144_100
| ~ spl144_164
| ~ spl144_348
| ~ spl144_406
| ~ spl144_413
| ~ spl144_418
| ~ spl144_424
| ~ spl144_426 ),
inference(forward_demodulation,[],[f6122,f4032]) ).
fof(f6122,plain,
( e21 = e23
| e22 = e23
| e23 = op2(e20,e23)
| ~ spl144_100
| ~ spl144_164
| ~ spl144_348
| ~ spl144_406
| ~ spl144_418
| ~ spl144_424
| ~ spl144_426 ),
inference(duplicate_literal_removal,[],[f6121]) ).
fof(f6121,plain,
( e21 = e23
| e21 = e23
| e22 = e23
| e23 = op2(e20,e23)
| ~ spl144_100
| ~ spl144_164
| ~ spl144_348
| ~ spl144_406
| ~ spl144_418
| ~ spl144_424
| ~ spl144_426 ),
inference(forward_demodulation,[],[f6120,f3675]) ).
fof(f6120,plain,
( e21 = e23
| e22 = e23
| e23 = op2(e20,e23)
| e23 = op2(e20,e21)
| ~ spl144_100
| ~ spl144_164
| ~ spl144_348
| ~ spl144_418
| ~ spl144_424
| ~ spl144_426 ),
inference(forward_demodulation,[],[f6119,f6084]) ).
fof(f6084,plain,
( e21 = h1(e11)
| ~ spl144_164
| ~ spl144_418
| ~ spl144_424
| ~ spl144_426 ),
inference(forward_demodulation,[],[f6082,f5977]) ).
fof(f6304,plain,
( spl144_5
| ~ spl144_364
| ~ spl144_413 ),
inference(avatar_split_clause,[],[f4128,f4030,f3269,f1462]) ).
fof(f4128,plain,
( e21 = e23
| ~ spl144_364
| ~ spl144_413 ),
inference(superposition,[],[f4032,f3271]) ).
fof(f6291,plain,
( spl144_243
| spl144_6
| spl144_2
| ~ spl144_90
| ~ spl144_354
| ~ spl144_358
| ~ spl144_391
| ~ spl144_410 ),
inference(avatar_split_clause,[],[f6287,f4014,f3471,f3226,f3203,f1874,f1447,f1467,f2616]) ).
fof(f6287,plain,
( e20 = e22
| e22 = e23
| e22 = op2(e22,e23)
| ~ spl144_90
| ~ spl144_354
| ~ spl144_358
| ~ spl144_391
| ~ spl144_410 ),
inference(duplicate_literal_removal,[],[f6286]) ).
fof(f6286,plain,
( e20 = e22
| e22 = e23
| e20 = e22
| e22 = op2(e22,e23)
| ~ spl144_90
| ~ spl144_354
| ~ spl144_358
| ~ spl144_391
| ~ spl144_410 ),
inference(forward_demodulation,[],[f6132,f6272]) ).
fof(f6132,plain,
( e21 = e22
| e22 = e23
| e20 = e22
| e22 = op2(e22,e23)
| ~ spl144_90
| ~ spl144_354
| ~ spl144_391 ),
inference(forward_demodulation,[],[f4239,f3473]) ).
fof(f6285,plain,
( spl144_2
| spl144_6
| spl144_4
| ~ spl144_90
| ~ spl144_354
| ~ spl144_391
| ~ spl144_393 ),
inference(avatar_split_clause,[],[f6246,f3479,f3471,f3203,f1874,f1457,f1467,f1447]) ).
fof(f6246,plain,
( e21 = e22
| e22 = e23
| e20 = e22
| ~ spl144_90
| ~ spl144_354
| ~ spl144_391
| ~ spl144_393 ),
inference(duplicate_literal_removal,[],[f6245]) ).
fof(f6245,plain,
( e21 = e22
| e21 = e22
| e22 = e23
| e20 = e22
| ~ spl144_90
| ~ spl144_354
| ~ spl144_391
| ~ spl144_393 ),
inference(forward_demodulation,[],[f6132,f3481]) ).
fof(f6243,plain,
( spl144_4
| ~ spl144_100
| ~ spl144_108 ),
inference(avatar_split_clause,[],[f3997,f1955,f1919,f1457]) ).
fof(f3997,plain,
( e21 = e22
| ~ spl144_100
| ~ spl144_108 ),
inference(superposition,[],[f1921,f1957]) ).
fof(f6173,plain,
( spl144_2
| spl144_6
| spl144_4
| ~ spl144_90
| ~ spl144_354
| ~ spl144_391
| ~ spl144_411 ),
inference(avatar_split_clause,[],[f6146,f4018,f3471,f3203,f1874,f1457,f1467,f1447]) ).
fof(f6146,plain,
( e21 = e22
| e22 = e23
| e20 = e22
| ~ spl144_90
| ~ spl144_354
| ~ spl144_391
| ~ spl144_411 ),
inference(forward_demodulation,[],[f6145,f3473]) ).
fof(f6145,plain,
( e22 = e23
| e20 = e22
| e22 = op2(e22,e20)
| ~ spl144_90
| ~ spl144_354
| ~ spl144_411 ),
inference(forward_demodulation,[],[f4151,f1876]) ).
fof(f4151,plain,
( e20 = e22
| e22 = h3(e12)
| e22 = op2(e22,e20)
| ~ spl144_354
| ~ spl144_411 ),
inference(duplicate_literal_removal,[],[f4150]) ).
fof(f4150,plain,
( e20 = e22
| e20 = e22
| e22 = h3(e12)
| e22 = op2(e22,e20)
| ~ spl144_354
| ~ spl144_411 ),
inference(forward_demodulation,[],[f4149,f3205]) ).
fof(f4149,plain,
( e20 = e22
| e22 = h3(e12)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20)
| ~ spl144_411 ),
inference(forward_demodulation,[],[f1233,f4020]) ).
fof(f6154,plain,
( ~ spl144_175
| ~ spl144_368 ),
inference(avatar_split_clause,[],[f6137,f3291,f2286]) ).
fof(f6117,plain,
( spl144_6
| spl144_3
| spl144_5
| ~ spl144_100
| ~ spl144_174
| ~ spl144_357
| ~ spl144_406 ),
inference(avatar_split_clause,[],[f5998,f3673,f3221,f2281,f1919,f1462,f1452,f1467]) ).
fof(f5998,plain,
( e21 = e23
| e20 = e23
| e22 = e23
| ~ spl144_100
| ~ spl144_174
| ~ spl144_357
| ~ spl144_406 ),
inference(forward_demodulation,[],[f5997,f3675]) ).
fof(f6103,plain,
( spl144_4
| ~ spl144_418
| ~ spl144_419 ),
inference(avatar_split_clause,[],[f6087,f4406,f4402,f1457]) ).
fof(f6087,plain,
( e21 = e22
| ~ spl144_418
| ~ spl144_419 ),
inference(forward_demodulation,[],[f4408,f4404]) ).
fof(f6085,plain,
( spl144_3
| spl144_5
| ~ spl144_108
| ~ spl144_174
| ~ spl144_357
| ~ spl144_406 ),
inference(avatar_split_clause,[],[f6062,f3673,f3221,f2281,f1955,f1462,f1452]) ).
fof(f6062,plain,
( e21 = e23
| e20 = e23
| ~ spl144_108
| ~ spl144_174
| ~ spl144_357
| ~ spl144_406 ),
inference(duplicate_literal_removal,[],[f6061]) ).
fof(f6061,plain,
( e21 = e23
| e20 = e23
| e21 = e23
| ~ spl144_108
| ~ spl144_174
| ~ spl144_357
| ~ spl144_406 ),
inference(forward_demodulation,[],[f6060,f3675]) ).
fof(f6060,plain,
( e20 = e23
| e21 = e23
| e23 = op2(e20,e21)
| ~ spl144_108
| ~ spl144_174
| ~ spl144_357 ),
inference(duplicate_literal_removal,[],[f6059]) ).
fof(f6059,plain,
( e20 = e23
| e20 = e23
| e21 = e23
| e23 = op2(e20,e21)
| ~ spl144_108
| ~ spl144_174
| ~ spl144_357 ),
inference(forward_demodulation,[],[f4369,f2283]) ).
fof(f6079,plain,
( spl144_418
| ~ spl144_100
| ~ spl144_108
| ~ spl144_419 ),
inference(avatar_split_clause,[],[f6076,f4406,f1955,f1919,f4402]) ).
fof(f6076,plain,
( op2(e20,e20) = e21
| ~ spl144_100
| ~ spl144_108
| ~ spl144_419 ),
inference(forward_demodulation,[],[f4408,f3997]) ).
fof(f6058,plain,
( spl144_438
| spl144_2
| spl144_396
| ~ spl144_98
| ~ spl144_100
| ~ spl144_164
| ~ spl144_350
| ~ spl144_403
| ~ spl144_415 ),
inference(avatar_split_clause,[],[f6013,f4213,f3655,f3179,f2230,f1919,f1910,f3506,f1447,f6055]) ).
fof(f6013,plain,
( e20 = op2(e21,e22)
| e20 = e22
| e20 = op2(e21,e20)
| ~ spl144_98
| ~ spl144_100
| ~ spl144_164
| ~ spl144_350
| ~ spl144_403
| ~ spl144_415 ),
inference(forward_demodulation,[],[f6012,f6002]) ).
fof(f6012,plain,
( e20 = e22
| e20 = op2(e21,e23)
| e20 = op2(e21,e20)
| ~ spl144_98
| ~ spl144_100
| ~ spl144_164
| ~ spl144_350
| ~ spl144_403
| ~ spl144_415 ),
inference(duplicate_literal_removal,[],[f6011]) ).
fof(f6011,plain,
( e20 = e22
| e20 = e22
| e20 = op2(e21,e23)
| e20 = op2(e21,e20)
| ~ spl144_98
| ~ spl144_100
| ~ spl144_164
| ~ spl144_350
| ~ spl144_403
| ~ spl144_415 ),
inference(forward_demodulation,[],[f5989,f6002]) ).
fof(f5989,plain,
( e20 = e23
| e20 = e22
| e20 = op2(e21,e23)
| e20 = op2(e21,e20)
| ~ spl144_98
| ~ spl144_350
| ~ spl144_415 ),
inference(forward_demodulation,[],[f5988,f4215]) ).
fof(f6010,plain,
( spl144_410
| spl144_2
| spl144_1
| ~ spl144_98
| ~ spl144_178
| ~ spl144_390 ),
inference(avatar_split_clause,[],[f5985,f3460,f2299,f1910,f1442,f1447,f4014]) ).
fof(f5985,plain,
( e20 = e21
| e20 = e22
| e20 = op2(e21,e23)
| ~ spl144_98
| ~ spl144_178
| ~ spl144_390 ),
inference(forward_demodulation,[],[f5920,f2300]) ).
fof(f5920,plain,
( e20 = e22
| e20 = op2(e21,e23)
| e20 = op2(e21,e20)
| ~ spl144_98
| ~ spl144_390 ),
inference(duplicate_literal_removal,[],[f3854]) ).
fof(f3854,plain,
( e20 = e22
| e20 = e22
| e20 = op2(e21,e23)
| e20 = op2(e21,e20)
| ~ spl144_98
| ~ spl144_390 ),
inference(forward_demodulation,[],[f3853,f3462]) ).
fof(f6009,plain,
( ~ spl144_225
| ~ spl144_188 ),
inference(avatar_split_clause,[],[f1148,f2346,f2523]) ).
fof(f1148,plain,
( e12 != op1(e12,e12)
| ~ sP80 ),
inference(cnf_transformation,[],[f309]) ).
fof(f5982,plain,
( spl144_6
| ~ spl144_94
| ~ spl144_100 ),
inference(avatar_split_clause,[],[f5875,f1919,f1892,f1467]) ).
fof(f5875,plain,
( e22 = e23
| ~ spl144_94
| ~ spl144_100 ),
inference(superposition,[],[f1921,f1894]) ).
fof(f5980,plain,
( ~ spl144_389
| ~ spl144_94
| ~ spl144_100
| spl144_387 ),
inference(avatar_split_clause,[],[f5937,f3428,f1919,f1892,f3456]) ).
fof(f5937,plain,
( e22 != op2(e20,e22)
| ~ spl144_94
| ~ spl144_100
| spl144_387 ),
inference(forward_demodulation,[],[f3429,f5875]) ).
fof(f3429,plain,
( e23 != op2(e20,e22)
| spl144_387 ),
inference(avatar_component_clause,[],[f3428]) ).
fof(f5919,plain,
( spl144_2
| ~ spl144_94
| ~ spl144_100
| ~ spl144_348
| ~ spl144_357
| ~ spl144_389 ),
inference(avatar_split_clause,[],[f5874,f3456,f3221,f3169,f1919,f1892,f1447]) ).
fof(f5874,plain,
( e20 = e22
| ~ spl144_94
| ~ spl144_100
| ~ spl144_348
| ~ spl144_357
| ~ spl144_389 ),
inference(forward_demodulation,[],[f5873,f3222]) ).
fof(f5873,plain,
( e22 = op2(e20,e23)
| ~ spl144_94
| ~ spl144_100
| ~ spl144_348
| ~ spl144_389 ),
inference(forward_demodulation,[],[f5869,f5600]) ).
fof(f5882,plain,
( spl144_4
| ~ spl144_94
| ~ spl144_100
| ~ spl144_258
| ~ spl144_348
| ~ spl144_359
| ~ spl144_389
| ~ spl144_422 ),
inference(avatar_split_clause,[],[f5872,f4467,f3456,f3231,f3169,f2694,f1919,f1892,f1457]) ).
fof(f5872,plain,
( e21 = e22
| ~ spl144_94
| ~ spl144_100
| ~ spl144_258
| ~ spl144_348
| ~ spl144_359
| ~ spl144_389
| ~ spl144_422 ),
inference(forward_demodulation,[],[f5871,f2696]) ).
fof(f5871,plain,
( e22 = op2(e23,e22)
| ~ spl144_94
| ~ spl144_100
| ~ spl144_348
| ~ spl144_359
| ~ spl144_389
| ~ spl144_422 ),
inference(forward_demodulation,[],[f5870,f5757]) ).
fof(f5757,plain,
( e22 = h1(e10)
| ~ spl144_100
| ~ spl144_348
| ~ spl144_359
| ~ spl144_389
| ~ spl144_422 ),
inference(forward_demodulation,[],[f5140,f4469]) ).
fof(f5140,plain,
( op2(e22,e22) = h1(e10)
| ~ spl144_100
| ~ spl144_348
| ~ spl144_359
| ~ spl144_389 ),
inference(forward_demodulation,[],[f3843,f5139]) ).
fof(f5139,plain,
( e22 = h1(e11)
| ~ spl144_100
| ~ spl144_348
| ~ spl144_389 ),
inference(forward_demodulation,[],[f3844,f3458]) ).
fof(f3843,plain,
( h1(e10) = op2(e22,h1(e11))
| ~ spl144_100
| ~ spl144_359 ),
inference(superposition,[],[f3233,f1921]) ).
fof(f5870,plain,
( op2(e23,e22) = h1(e10)
| ~ spl144_94
| ~ spl144_100
| ~ spl144_348
| ~ spl144_359
| ~ spl144_389 ),
inference(forward_demodulation,[],[f5868,f5600]) ).
fof(f5868,plain,
( h1(e10) = op2(e23,h1(e11))
| ~ spl144_94
| ~ spl144_359 ),
inference(superposition,[],[f3233,f1894]) ).
fof(f5863,plain,
( spl144_25
| ~ spl144_222
| ~ spl144_378
| ~ spl144_426 ),
inference(avatar_split_clause,[],[f5642,f4505,f3360,f2508,f1562]) ).
fof(f5642,plain,
( e10 = e13
| ~ spl144_222
| ~ spl144_378
| ~ spl144_426 ),
inference(forward_demodulation,[],[f5641,f5495]) ).
fof(f5641,plain,
( e12 = e13
| ~ spl144_222
| ~ spl144_378
| ~ spl144_426 ),
inference(forward_demodulation,[],[f5640,f4507]) ).
fof(f5640,plain,
( op1(e10,e10) = e13
| ~ spl144_222
| ~ spl144_378
| ~ spl144_426 ),
inference(forward_demodulation,[],[f3362,f5495]) ).
fof(f5797,plain,
( spl144_28
| ~ spl144_193
| ~ spl144_378 ),
inference(avatar_split_clause,[],[f4679,f3360,f2370,f1577]) ).
fof(f4679,plain,
( e12 = e13
| ~ spl144_193
| ~ spl144_378 ),
inference(forward_demodulation,[],[f3362,f2372]) ).
fof(f5737,plain,
( spl144_23
| ~ spl144_222
| ~ spl144_424 ),
inference(avatar_split_clause,[],[f5669,f4494,f2508,f1552]) ).
fof(f5669,plain,
( e10 = e11
| ~ spl144_222
| ~ spl144_424 ),
inference(forward_demodulation,[],[f4496,f2510]) ).
fof(f5667,plain,
( spl144_23
| ~ spl144_209
| ~ spl144_222
| ~ spl144_382
| ~ spl144_426 ),
inference(avatar_split_clause,[],[f5637,f4505,f3391,f2508,f2446,f1552]) ).
fof(f5637,plain,
( e10 = e11
| ~ spl144_209
| ~ spl144_222
| ~ spl144_382
| ~ spl144_426 ),
inference(forward_demodulation,[],[f5636,f2448]) ).
fof(f5636,plain,
( e11 = op1(e10,e13)
| ~ spl144_222
| ~ spl144_382
| ~ spl144_426 ),
inference(forward_demodulation,[],[f3393,f5495]) ).
fof(f5654,plain,
( spl144_4
| ~ spl144_100
| ~ spl144_222
| ~ spl144_348
| ~ spl144_359
| ~ spl144_389
| ~ spl144_394
| ~ spl144_426 ),
inference(avatar_split_clause,[],[f5544,f4505,f3494,f3456,f3231,f3169,f2508,f1919,f1457]) ).
fof(f5544,plain,
( e21 = e22
| ~ spl144_100
| ~ spl144_222
| ~ spl144_348
| ~ spl144_359
| ~ spl144_389
| ~ spl144_394
| ~ spl144_426 ),
inference(forward_demodulation,[],[f5543,f5141]) ).
fof(f5141,plain,
( e21 = h1(e10)
| ~ spl144_100
| ~ spl144_348
| ~ spl144_359
| ~ spl144_389
| ~ spl144_394 ),
inference(forward_demodulation,[],[f5140,f3495]) ).
fof(f5543,plain,
( e22 = h1(e10)
| ~ spl144_100
| ~ spl144_222
| ~ spl144_426 ),
inference(forward_demodulation,[],[f1921,f5495]) ).
fof(f5647,plain,
( spl144_23
| ~ spl144_209
| ~ spl144_425 ),
inference(avatar_split_clause,[],[f5489,f4498,f2446,f1552]) ).
fof(f5489,plain,
( e10 = e11
| ~ spl144_209
| ~ spl144_425 ),
inference(forward_demodulation,[],[f4500,f2448]) ).
fof(f5545,plain,
( spl144_23
| ~ spl144_87
| ~ spl144_437 ),
inference(avatar_split_clause,[],[f5471,f5467,f1860,f1552]) ).
fof(f5471,plain,
( e10 = e11
| ~ spl144_87
| ~ spl144_437 ),
inference(superposition,[],[f5469,f1862]) ).
fof(f5469,plain,
( e10 = op1(e13,e12)
| ~ spl144_437 ),
inference(avatar_component_clause,[],[f5467]) ).
fof(f5502,plain,
( spl144_6
| ~ spl144_94
| ~ spl144_164
| ~ spl144_419 ),
inference(avatar_split_clause,[],[f5501,f4406,f2230,f1892,f1467]) ).
fof(f5501,plain,
( e22 = e23
| ~ spl144_94
| ~ spl144_164
| ~ spl144_419 ),
inference(forward_demodulation,[],[f1894,f5460]) ).
fof(f5460,plain,
( e22 = h1(e12)
| ~ spl144_164
| ~ spl144_419 ),
inference(superposition,[],[f4408,f2232]) ).
fof(f5498,plain,
( spl144_94
| spl144_6
| spl144_5
| spl144_3
| ~ spl144_357
| ~ spl144_389
| ~ spl144_406 ),
inference(avatar_split_clause,[],[f5185,f3673,f3456,f3221,f1452,f1462,f1467,f1892]) ).
fof(f5185,plain,
( e20 = e23
| e21 = e23
| e22 = e23
| e23 = h1(e12)
| ~ spl144_357
| ~ spl144_389
| ~ spl144_406 ),
inference(forward_demodulation,[],[f4377,f3222]) ).
fof(f4377,plain,
( e21 = e23
| e22 = e23
| e23 = h1(e12)
| e23 = op2(e20,e23)
| ~ spl144_389
| ~ spl144_406 ),
inference(forward_demodulation,[],[f4376,f3675]) ).
fof(f4376,plain,
( e22 = e23
| e23 = h1(e12)
| e23 = op2(e20,e23)
| e23 = op2(e20,e21)
| ~ spl144_389 ),
inference(forward_demodulation,[],[f1247,f3458]) ).
fof(f5494,plain,
( spl144_222
| ~ spl144_87
| ~ spl144_201
| ~ spl144_437 ),
inference(avatar_split_clause,[],[f5493,f5467,f2408,f1860,f2508]) ).
fof(f5493,plain,
( e10 = op1(e10,e10)
| ~ spl144_87
| ~ spl144_201
| ~ spl144_437 ),
inference(forward_demodulation,[],[f2410,f5471]) ).
fof(f5473,plain,
( spl144_197
| spl144_26
| spl144_27
| ~ spl144_380
| ~ spl144_385
| ~ spl144_429 ),
inference(avatar_split_clause,[],[f5443,f4520,f3411,f3375,f1572,f1567,f2389]) ).
fof(f5443,plain,
( e11 = e13
| e11 = e12
| e11 = op1(e11,e13)
| ~ spl144_380
| ~ spl144_385
| ~ spl144_429 ),
inference(forward_demodulation,[],[f5442,f4522]) ).
fof(f5442,plain,
( e11 = e12
| e11 = op1(e11,e13)
| e11 = op1(e11,e10)
| ~ spl144_380
| ~ spl144_385 ),
inference(duplicate_literal_removal,[],[f5441]) ).
fof(f5441,plain,
( e11 = e12
| e11 = e12
| e11 = op1(e11,e13)
| e11 = op1(e11,e10)
| ~ spl144_380
| ~ spl144_385 ),
inference(forward_demodulation,[],[f4922,f3413]) ).
fof(f5470,plain,
( spl144_437
| spl144_24
| spl144_25
| ~ spl144_375
| ~ spl144_377
| ~ spl144_380 ),
inference(avatar_split_clause,[],[f5321,f3375,f3351,f3343,f1562,f1557,f5467]) ).
fof(f5321,plain,
( e10 = e13
| e10 = e12
| e10 = op1(e13,e12)
| ~ spl144_375
| ~ spl144_377
| ~ spl144_380 ),
inference(duplicate_literal_removal,[],[f5320]) ).
fof(f5320,plain,
( e10 = e13
| e10 = e13
| e10 = e12
| e10 = op1(e13,e12)
| ~ spl144_375
| ~ spl144_377
| ~ spl144_380 ),
inference(forward_demodulation,[],[f5274,f3345]) ).
fof(f5274,plain,
( e10 = e13
| e10 = e12
| e10 = op1(e13,e12)
| e10 = op1(e10,e12)
| ~ spl144_377
| ~ spl144_380 ),
inference(forward_demodulation,[],[f4943,f3353]) ).
fof(f4943,plain,
( e10 = e12
| e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e10,e12)
| ~ spl144_380 ),
inference(forward_demodulation,[],[f587,f3377]) ).
fof(f5440,plain,
( spl144_25
| ~ spl144_371
| ~ spl144_436 ),
inference(avatar_split_clause,[],[f5423,f5298,f3313,f1562]) ).
fof(f5423,plain,
( e10 = e13
| ~ spl144_371
| ~ spl144_436 ),
inference(superposition,[],[f5300,f3315]) ).
fof(f5432,plain,
( spl144_6
| spl144_5
| spl144_3
| ~ spl144_164
| ~ spl144_357
| ~ spl144_389
| ~ spl144_406
| ~ spl144_409 ),
inference(avatar_split_clause,[],[f5246,f3715,f3673,f3456,f3221,f2230,f1452,f1462,f1467]) ).
fof(f5246,plain,
( e20 = e23
| e21 = e23
| e22 = e23
| ~ spl144_164
| ~ spl144_357
| ~ spl144_389
| ~ spl144_406
| ~ spl144_409 ),
inference(duplicate_literal_removal,[],[f5245]) ).
fof(f5245,plain,
( e20 = e23
| e20 = e23
| e21 = e23
| e22 = e23
| ~ spl144_164
| ~ spl144_357
| ~ spl144_389
| ~ spl144_406
| ~ spl144_409 ),
inference(forward_demodulation,[],[f5185,f3720]) ).
fof(f3720,plain,
( e20 = h1(e12)
| ~ spl144_164
| ~ spl144_409 ),
inference(superposition,[],[f3717,f2232]) ).
fof(f3717,plain,
( e20 = op2(e20,e20)
| ~ spl144_409 ),
inference(avatar_component_clause,[],[f3715]) ).
fof(f5431,plain,
( ~ spl144_430
| ~ spl144_184 ),
inference(avatar_split_clause,[],[f1157,f2327,f4549]) ).
fof(f2327,plain,
( spl144_184
<=> e13 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_184])]) ).
fof(f1157,plain,
( e13 != op1(e13,e10)
| ~ sP78 ),
inference(cnf_transformation,[],[f311]) ).
fof(f5385,plain,
( spl144_24
| ~ spl144_86
| ~ spl144_374 ),
inference(avatar_split_clause,[],[f5376,f3331,f1855,f1557]) ).
fof(f5376,plain,
( e10 = e12
| ~ spl144_86
| ~ spl144_374 ),
inference(superposition,[],[f3333,f1857]) ).
fof(f3333,plain,
( e10 = op1(e13,e13)
| ~ spl144_374 ),
inference(avatar_component_clause,[],[f3331]) ).
fof(f5342,plain,
( ~ spl144_430
| ~ spl144_184 ),
inference(avatar_split_clause,[],[f5331,f2327,f4549]) ).
fof(f5331,plain,
( ~ sP78
| ~ spl144_184 ),
inference(trivial_inequality_removal,[],[f5330]) ).
fof(f5330,plain,
( e13 != e13
| ~ sP78
| ~ spl144_184 ),
inference(forward_demodulation,[],[f1157,f2329]) ).
fof(f2329,plain,
( e13 = op1(e13,e10)
| ~ spl144_184 ),
inference(avatar_component_clause,[],[f2327]) ).
fof(f5328,plain,
( spl144_25
| ~ spl144_184
| ~ spl144_373 ),
inference(avatar_split_clause,[],[f5327,f3327,f2327,f1562]) ).
fof(f5327,plain,
( e10 = e13
| ~ spl144_184
| ~ spl144_373 ),
inference(forward_demodulation,[],[f2329,f3329]) ).
fof(f5313,plain,
( spl144_28
| ~ spl144_375
| ~ spl144_379 ),
inference(avatar_split_clause,[],[f5306,f3371,f3343,f1577]) ).
fof(f5306,plain,
( e12 = e13
| ~ spl144_375
| ~ spl144_379 ),
inference(superposition,[],[f3373,f3345]) ).
fof(f5303,plain,
( spl144_269
| ~ spl144_197
| ~ spl144_371
| ~ spl144_436 ),
inference(avatar_split_clause,[],[f5302,f5298,f3313,f2389,f2754]) ).
fof(f5302,plain,
( e10 = op1(e11,e11)
| ~ spl144_197
| ~ spl144_371
| ~ spl144_436 ),
inference(forward_demodulation,[],[f5300,f5276]) ).
fof(f5301,plain,
( spl144_436
| spl144_24
| ~ spl144_380
| ~ spl144_385
| ~ spl144_427 ),
inference(avatar_split_clause,[],[f4937,f4509,f3411,f3375,f1557,f5298]) ).
fof(f4937,plain,
( e10 = e12
| e10 = op1(e11,e13)
| ~ spl144_380
| ~ spl144_385
| ~ spl144_427 ),
inference(duplicate_literal_removal,[],[f4936]) ).
fof(f4936,plain,
( e10 = e12
| e10 = e12
| e10 = op1(e11,e13)
| ~ spl144_380
| ~ spl144_385
| ~ spl144_427 ),
inference(forward_demodulation,[],[f4935,f4511]) ).
fof(f4935,plain,
( e10 = e12
| e10 = op1(e11,e13)
| e10 = op1(e11,e10)
| ~ spl144_380
| ~ spl144_385 ),
inference(duplicate_literal_removal,[],[f4934]) ).
fof(f4934,plain,
( e10 = e12
| e10 = e12
| e10 = op1(e11,e13)
| e10 = op1(e11,e10)
| ~ spl144_380
| ~ spl144_385 ),
inference(forward_demodulation,[],[f4933,f3413]) ).
fof(f5251,plain,
( spl144_28
| ~ spl144_188
| ~ spl144_377 ),
inference(avatar_split_clause,[],[f5058,f3351,f2346,f1577]) ).
fof(f5058,plain,
( e12 = e13
| ~ spl144_188
| ~ spl144_377 ),
inference(superposition,[],[f3353,f2348]) ).
fof(f5244,plain,
( spl144_1
| ~ spl144_108
| ~ spl144_164
| ~ spl144_409 ),
inference(avatar_split_clause,[],[f5242,f3715,f2230,f1955,f1442]) ).
fof(f5242,plain,
( e20 = e21
| ~ spl144_108
| ~ spl144_164
| ~ spl144_409 ),
inference(forward_demodulation,[],[f1957,f3720]) ).
fof(f5216,plain,
( spl144_2
| ~ spl144_100
| ~ spl144_164
| ~ spl144_409 ),
inference(avatar_split_clause,[],[f5195,f3715,f2230,f1919,f1447]) ).
fof(f5195,plain,
( e20 = e22
| ~ spl144_100
| ~ spl144_164
| ~ spl144_409 ),
inference(forward_demodulation,[],[f1921,f3720]) ).
fof(f5184,plain,
( spl144_364
| spl144_5
| spl144_6
| ~ spl144_100
| ~ spl144_205
| ~ spl144_348
| ~ spl144_389
| ~ spl144_406
| ~ spl144_427 ),
inference(avatar_split_clause,[],[f5158,f4509,f3673,f3456,f3169,f2427,f1919,f1467,f1462,f3269]) ).
fof(f5158,plain,
( e22 = e23
| e21 = e23
| e23 = op2(e20,e23)
| ~ spl144_100
| ~ spl144_205
| ~ spl144_348
| ~ spl144_389
| ~ spl144_406
| ~ spl144_427 ),
inference(duplicate_literal_removal,[],[f5157]) ).
fof(f5157,plain,
( e22 = e23
| e21 = e23
| e22 = e23
| e23 = op2(e20,e23)
| ~ spl144_100
| ~ spl144_205
| ~ spl144_348
| ~ spl144_389
| ~ spl144_406
| ~ spl144_427 ),
inference(forward_demodulation,[],[f5156,f5139]) ).
fof(f5156,plain,
( e23 = h1(e11)
| e21 = e23
| e22 = e23
| e23 = op2(e20,e23)
| ~ spl144_205
| ~ spl144_389
| ~ spl144_406
| ~ spl144_427 ),
inference(forward_demodulation,[],[f4377,f5091]) ).
fof(f5143,plain,
( spl144_2
| ~ spl144_100
| ~ spl144_116 ),
inference(avatar_split_clause,[],[f5142,f1991,f1919,f1447]) ).
fof(f5142,plain,
( e20 = e22
| ~ spl144_100
| ~ spl144_116 ),
inference(forward_demodulation,[],[f1921,f1992]) ).
fof(f1992,plain,
( e20 = h1(e12)
| ~ spl144_116 ),
inference(avatar_component_clause,[],[f1991]) ).
fof(f5134,plain,
( spl144_367
| spl144_3
| spl144_6
| spl144_5
| ~ spl144_116
| ~ spl144_178
| ~ spl144_408 ),
inference(avatar_split_clause,[],[f5132,f3709,f2299,f1991,f1462,f1467,f1452,f3287]) ).
fof(f5132,plain,
( e21 = e23
| e22 = e23
| e20 = e23
| e23 = op2(e23,e20)
| ~ spl144_116
| ~ spl144_178
| ~ spl144_408 ),
inference(forward_demodulation,[],[f5131,f2300]) ).
fof(f5131,plain,
( e22 = e23
| e20 = e23
| e23 = op2(e23,e20)
| e23 = op2(e21,e20)
| ~ spl144_116
| ~ spl144_408 ),
inference(forward_demodulation,[],[f5130,f3711]) ).
fof(f5130,plain,
( e20 = e23
| e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| ~ spl144_116 ),
inference(forward_demodulation,[],[f1246,f1992]) ).
fof(f5126,plain,
( spl144_5
| ~ spl144_352
| ~ spl144_435 ),
inference(avatar_split_clause,[],[f5124,f5107,f3191,f1462]) ).
fof(f5124,plain,
( e21 = e23
| ~ spl144_352
| ~ spl144_435 ),
inference(forward_demodulation,[],[f5109,f3193]) ).
fof(f5109,plain,
( e23 = h4(e11)
| ~ spl144_435 ),
inference(avatar_component_clause,[],[f5107]) ).
fof(f5123,plain,
( spl144_230
| ~ spl144_258
| ~ spl144_434 ),
inference(avatar_split_clause,[],[f5121,f5103,f2694,f2549]) ).
fof(f2549,plain,
( spl144_230
<=> e22 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_230])]) ).
fof(f5103,plain,
( spl144_434
<=> e22 = op2(e23,op2(e23,e22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_434])]) ).
fof(f5121,plain,
( e22 = op2(e23,e21)
| ~ spl144_258
| ~ spl144_434 ),
inference(forward_demodulation,[],[f5105,f2696]) ).
fof(f5105,plain,
( e22 = op2(e23,op2(e23,e22))
| ~ spl144_434 ),
inference(avatar_component_clause,[],[f5103]) ).
fof(f5120,plain,
( spl144_412
| ~ spl144_367
| ~ spl144_432 ),
inference(avatar_split_clause,[],[f5119,f5095,f3287,f4022]) ).
fof(f5095,plain,
( spl144_432
<=> e20 = op2(e23,op2(e23,e20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_432])]) ).
fof(f5119,plain,
( e20 = op2(e23,e23)
| ~ spl144_367
| ~ spl144_432 ),
inference(forward_demodulation,[],[f5097,f3289]) ).
fof(f5097,plain,
( e20 = op2(e23,op2(e23,e20))
| ~ spl144_432 ),
inference(avatar_component_clause,[],[f5095]) ).
fof(f5116,plain,
( spl144_345
| ~ spl144_72
| ~ spl144_90
| ~ spl144_349
| ~ spl144_360
| ~ spl144_393
| ~ spl144_433 ),
inference(avatar_split_clause,[],[f5114,f5099,f3479,f3236,f3174,f1874,f1791,f3153]) ).
fof(f3153,plain,
( spl144_345
<=> e21 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_345])]) ).
fof(f1791,plain,
( spl144_72
<=> e20 = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_72])]) ).
fof(f5114,plain,
( e21 = op2(e23,e20)
| ~ spl144_72
| ~ spl144_90
| ~ spl144_349
| ~ spl144_360
| ~ spl144_393
| ~ spl144_433 ),
inference(forward_demodulation,[],[f5113,f1792]) ).
fof(f1792,plain,
( e20 = h3(e10)
| ~ spl144_72 ),
inference(avatar_component_clause,[],[f1791]) ).
fof(f5110,plain,
( spl144_432
| spl144_433
| spl144_434
| spl144_435 ),
inference(avatar_split_clause,[],[f1378,f5107,f5103,f5099,f5095]) ).
fof(f1378,plain,
( e23 = h4(e11)
| e22 = op2(e23,op2(e23,e22))
| e21 = op2(e23,op2(e23,e21))
| e20 = op2(e23,op2(e23,e20)) ),
inference(forward_demodulation,[],[f1377,f1195]) ).
fof(f1195,plain,
h4(e11) = op2(e23,h4(e12)),
inference(forward_demodulation,[],[f418,f419]) ).
fof(f418,plain,
op2(e23,op2(e23,e23)) = h4(e11),
inference(cnf_transformation,[],[f17]) ).
fof(f1377,plain,
( e23 = op2(e23,h4(e12))
| e22 = op2(e23,op2(e23,e22))
| e21 = op2(e23,op2(e23,e21))
| e20 = op2(e23,op2(e23,e20)) ),
inference(forward_demodulation,[],[f889,f419]) ).
fof(f889,plain,
( e23 = op2(e23,op2(e23,e23))
| e22 = op2(e23,op2(e23,e22))
| e21 = op2(e23,op2(e23,e21))
| e20 = op2(e23,op2(e23,e20)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f5090,plain,
( spl144_205
| spl144_197
| spl144_23
| spl144_26
| ~ spl144_385
| ~ spl144_431 ),
inference(avatar_split_clause,[],[f5087,f5076,f3411,f1567,f1552,f2389,f2427]) ).
fof(f5087,plain,
( e11 = e12
| e10 = e11
| e11 = op1(e11,e13)
| e11 = op1(e11,e10)
| ~ spl144_385
| ~ spl144_431 ),
inference(forward_demodulation,[],[f5086,f3413]) ).
fof(f5086,plain,
( e10 = e11
| e11 = op1(e11,e13)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10)
| ~ spl144_431 ),
inference(forward_demodulation,[],[f580,f5078]) ).
fof(f5085,plain,
( spl144_28
| ~ spl144_426
| ~ spl144_428 ),
inference(avatar_split_clause,[],[f5042,f4516,f4505,f1577]) ).
fof(f5042,plain,
( e12 = e13
| ~ spl144_426
| ~ spl144_428 ),
inference(superposition,[],[f4507,f4518]) ).
fof(f5079,plain,
( spl144_431
| spl144_307
| spl144_24
| ~ spl144_188
| ~ spl144_375
| ~ spl144_426
| ~ spl144_428 ),
inference(avatar_split_clause,[],[f5062,f4516,f4505,f3343,f2346,f1557,f2953,f5076]) ).
fof(f5062,plain,
( e10 = e12
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| ~ spl144_188
| ~ spl144_375
| ~ spl144_426
| ~ spl144_428 ),
inference(duplicate_literal_removal,[],[f5061]) ).
fof(f5061,plain,
( e10 = e12
| e10 = op1(e12,e12)
| e10 = e12
| e10 = op1(e11,e12)
| ~ spl144_188
| ~ spl144_375
| ~ spl144_426
| ~ spl144_428 ),
inference(forward_demodulation,[],[f5060,f5042]) ).
fof(f5060,plain,
( e10 = e13
| e10 = op1(e12,e12)
| e10 = e12
| e10 = op1(e11,e12)
| ~ spl144_188
| ~ spl144_375
| ~ spl144_426
| ~ spl144_428 ),
inference(forward_demodulation,[],[f5051,f3345]) ).
fof(f5051,plain,
( e10 = op1(e12,e12)
| e10 = e12
| e10 = op1(e11,e12)
| e10 = op1(e10,e12)
| ~ spl144_188
| ~ spl144_426
| ~ spl144_428 ),
inference(forward_demodulation,[],[f4538,f5042]) ).
fof(f5059,plain,
( spl144_307
| spl144_24
| ~ spl144_188
| ~ spl144_375
| ~ spl144_380
| ~ spl144_426
| ~ spl144_428 ),
inference(avatar_split_clause,[],[f5050,f4516,f4505,f3375,f3343,f2346,f1557,f2953]) ).
fof(f5050,plain,
( e10 = e12
| e10 = op1(e12,e12)
| ~ spl144_188
| ~ spl144_375
| ~ spl144_380
| ~ spl144_426
| ~ spl144_428 ),
inference(duplicate_literal_removal,[],[f5049]) ).
fof(f5049,plain,
( e10 = e12
| e10 = op1(e12,e12)
| e10 = e12
| ~ spl144_188
| ~ spl144_375
| ~ spl144_380
| ~ spl144_426
| ~ spl144_428 ),
inference(forward_demodulation,[],[f5048,f3377]) ).
fof(f5048,plain,
( e10 = op1(e12,e12)
| e10 = e12
| e10 = op1(e11,e12)
| ~ spl144_188
| ~ spl144_375
| ~ spl144_426
| ~ spl144_428 ),
inference(forward_demodulation,[],[f5047,f5042]) ).
fof(f5047,plain,
( e10 = e12
| e10 = op1(e13,e12)
| e10 = op1(e11,e12)
| ~ spl144_188
| ~ spl144_375
| ~ spl144_426
| ~ spl144_428 ),
inference(duplicate_literal_removal,[],[f5046]) ).
fof(f5046,plain,
( e10 = e12
| e10 = e12
| e10 = op1(e13,e12)
| e10 = op1(e11,e12)
| ~ spl144_188
| ~ spl144_375
| ~ spl144_426
| ~ spl144_428 ),
inference(forward_demodulation,[],[f4539,f5042]) ).
fof(f4539,plain,
( e10 = e13
| e10 = e12
| e10 = op1(e13,e12)
| e10 = op1(e11,e12)
| ~ spl144_188
| ~ spl144_375 ),
inference(forward_demodulation,[],[f4538,f3345]) ).
fof(f5045,plain,
( spl144_188
| spl144_24
| spl144_26
| ~ spl144_381
| ~ spl144_382 ),
inference(avatar_split_clause,[],[f4929,f3391,f3387,f1567,f1557,f2346]) ).
fof(f4929,plain,
( e11 = e12
| e10 = e12
| e12 = op1(e12,e12)
| ~ spl144_381
| ~ spl144_382 ),
inference(duplicate_literal_removal,[],[f4928]) ).
fof(f4928,plain,
( e11 = e12
| e11 = e12
| e10 = e12
| e12 = op1(e12,e12)
| ~ spl144_381
| ~ spl144_382 ),
inference(forward_demodulation,[],[f4927,f3389]) ).
fof(f4927,plain,
( e11 = e12
| e10 = e12
| e12 = op1(e12,e12)
| e12 = op1(e12,e10)
| ~ spl144_382 ),
inference(forward_demodulation,[],[f1261,f3393]) ).
fof(f5041,plain,
( spl144_197
| spl144_26
| ~ spl144_380
| ~ spl144_385
| ~ spl144_427 ),
inference(avatar_split_clause,[],[f4926,f4509,f3411,f3375,f1567,f2389]) ).
fof(f4926,plain,
( e11 = e12
| e11 = op1(e11,e13)
| ~ spl144_380
| ~ spl144_385
| ~ spl144_427 ),
inference(duplicate_literal_removal,[],[f4925]) ).
fof(f4925,plain,
( e11 = e12
| e11 = e12
| e11 = op1(e11,e13)
| ~ spl144_380
| ~ spl144_385
| ~ spl144_427 ),
inference(forward_demodulation,[],[f4924,f4511]) ).
fof(f4924,plain,
( e11 = e12
| e11 = op1(e11,e13)
| e11 = op1(e11,e10)
| ~ spl144_380
| ~ spl144_385 ),
inference(duplicate_literal_removal,[],[f4923]) ).
fof(f4923,plain,
( e11 = e12
| e11 = e12
| e11 = op1(e11,e13)
| e11 = op1(e11,e10)
| ~ spl144_380
| ~ spl144_385 ),
inference(forward_demodulation,[],[f4922,f3413]) ).
fof(f5038,plain,
( ~ spl144_112
| spl144_234
| ~ spl144_354 ),
inference(avatar_split_clause,[],[f3208,f3203,f2570,f1973]) ).
fof(f1973,plain,
( spl144_112
<=> e20 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_112])]) ).
fof(f2570,plain,
( spl144_234
<=> op2(e22,e21) = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_234])]) ).
fof(f3208,plain,
( e20 != h3(e12)
| spl144_234
| ~ spl144_354 ),
inference(superposition,[],[f2572,f3205]) ).
fof(f2572,plain,
( op2(e22,e21) != h3(e12)
| spl144_234 ),
inference(avatar_component_clause,[],[f2570]) ).
fof(f5010,plain,
( spl144_430
| spl144_363
| spl144_225
| ~ spl144_209 ),
inference(avatar_split_clause,[],[f5003,f2446,f2523,f3264,f4549]) ).
fof(f3264,plain,
( spl144_363
<=> sP79 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_363])]) ).
fof(f5003,plain,
( sP80
| sP79
| sP78
| ~ spl144_209 ),
inference(trivial_inequality_removal,[],[f5002]) ).
fof(f5002,plain,
( e10 != e10
| sP80
| sP79
| sP78
| ~ spl144_209 ),
inference(forward_demodulation,[],[f1158,f2448]) ).
fof(f1158,plain,
( e10 != op1(e10,e13)
| sP80
| sP79
| sP78 ),
inference(cnf_transformation,[],[f167]) ).
fof(f5000,plain,
( spl144_27
| ~ spl144_378
| ~ spl144_381 ),
inference(avatar_split_clause,[],[f4963,f3387,f3360,f1572]) ).
fof(f4963,plain,
( e11 = e13
| ~ spl144_378
| ~ spl144_381 ),
inference(forward_demodulation,[],[f3362,f3389]) ).
fof(f4967,plain,
( spl144_25
| ~ spl144_222
| ~ spl144_428 ),
inference(avatar_split_clause,[],[f4950,f4516,f2508,f1562]) ).
fof(f4950,plain,
( e10 = e13
| ~ spl144_222
| ~ spl144_428 ),
inference(forward_demodulation,[],[f4518,f2510]) ).
fof(f4921,plain,
( spl144_307
| ~ spl144_213
| ~ spl144_375
| ~ spl144_377 ),
inference(avatar_split_clause,[],[f4844,f3351,f3343,f2465,f2953]) ).
fof(f4844,plain,
( e10 = op1(e12,e12)
| ~ spl144_213
| ~ spl144_375
| ~ spl144_377 ),
inference(forward_demodulation,[],[f3353,f4487]) ).
fof(f4487,plain,
( e10 = e13
| ~ spl144_213
| ~ spl144_375 ),
inference(superposition,[],[f2467,f3345]) ).
fof(f4914,plain,
( spl144_381
| ~ spl144_213
| ~ spl144_375
| ~ spl144_382 ),
inference(avatar_split_clause,[],[f4830,f3391,f3343,f2465,f3387]) ).
fof(f4830,plain,
( e11 = op1(e12,e10)
| ~ spl144_213
| ~ spl144_375
| ~ spl144_382 ),
inference(forward_demodulation,[],[f3393,f4487]) ).
fof(f4892,plain,
( spl144_26
| ~ spl144_384
| ~ spl144_386 ),
inference(avatar_split_clause,[],[f4875,f3418,f3407,f1567]) ).
fof(f4875,plain,
( e11 = e12
| ~ spl144_384
| ~ spl144_386 ),
inference(forward_demodulation,[],[f3409,f3420]) ).
fof(f4877,plain,
( spl144_23
| ~ spl144_201
| ~ spl144_213
| ~ spl144_375
| ~ spl144_377
| ~ spl144_384
| ~ spl144_386 ),
inference(avatar_split_clause,[],[f4715,f3418,f3407,f3351,f3343,f2465,f2408,f1552]) ).
fof(f4715,plain,
( e10 = e11
| ~ spl144_201
| ~ spl144_213
| ~ spl144_375
| ~ spl144_377
| ~ spl144_384
| ~ spl144_386 ),
inference(forward_demodulation,[],[f4714,f4487]) ).
fof(f4714,plain,
( e11 = e13
| ~ spl144_201
| ~ spl144_377
| ~ spl144_384
| ~ spl144_386 ),
inference(forward_demodulation,[],[f4713,f2410]) ).
fof(f4713,plain,
( e13 = op1(e11,e11)
| ~ spl144_377
| ~ spl144_384
| ~ spl144_386 ),
inference(forward_demodulation,[],[f3353,f4687]) ).
fof(f4687,plain,
( e11 = e12
| ~ spl144_384
| ~ spl144_386 ),
inference(superposition,[],[f3420,f3409]) ).
fof(f4840,plain,
( spl144_26
| ~ spl144_201
| ~ spl144_385 ),
inference(avatar_split_clause,[],[f4782,f3411,f2408,f1567]) ).
fof(f4782,plain,
( e11 = e12
| ~ spl144_201
| ~ spl144_385 ),
inference(forward_demodulation,[],[f3413,f2410]) ).
fof(f4785,plain,
( spl144_23
| ~ spl144_213
| ~ spl144_372
| ~ spl144_375
| ~ spl144_381 ),
inference(avatar_split_clause,[],[f4765,f3387,f3343,f3317,f2465,f1552]) ).
fof(f4765,plain,
( e10 = e11
| ~ spl144_213
| ~ spl144_372
| ~ spl144_375
| ~ spl144_381 ),
inference(forward_demodulation,[],[f3389,f4752]) ).
fof(f4752,plain,
( e10 = op1(e12,e10)
| ~ spl144_213
| ~ spl144_372
| ~ spl144_375 ),
inference(forward_demodulation,[],[f3319,f4487]) ).
fof(f4757,plain,
( spl144_205
| ~ spl144_381
| ~ spl144_384
| ~ spl144_386 ),
inference(avatar_split_clause,[],[f4745,f3418,f3407,f3387,f2427]) ).
fof(f4745,plain,
( e11 = op1(e11,e10)
| ~ spl144_381
| ~ spl144_384
| ~ spl144_386 ),
inference(forward_demodulation,[],[f3389,f4687]) ).
fof(f4718,plain,
( spl144_24
| ~ spl144_213
| ~ spl144_379 ),
inference(avatar_split_clause,[],[f4710,f3371,f2465,f1557]) ).
fof(f4710,plain,
( e10 = e12
| ~ spl144_213
| ~ spl144_379 ),
inference(forward_demodulation,[],[f3373,f2467]) ).
fof(f4695,plain,
( spl144_303
| ~ spl144_213
| ~ spl144_375
| ~ spl144_378 ),
inference(avatar_split_clause,[],[f4683,f3360,f3343,f2465,f2932]) ).
fof(f2932,plain,
( spl144_303
<=> e10 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_303])]) ).
fof(f4683,plain,
( e10 = op1(e12,e10)
| ~ spl144_213
| ~ spl144_375
| ~ spl144_378 ),
inference(forward_demodulation,[],[f3362,f4487]) ).
fof(f4694,plain,
( spl144_222
| ~ spl144_213
| ~ spl144_375
| ~ spl144_428 ),
inference(avatar_split_clause,[],[f4525,f4516,f3343,f2465,f2508]) ).
fof(f4525,plain,
( e10 = op1(e10,e10)
| ~ spl144_213
| ~ spl144_375
| ~ spl144_428 ),
inference(forward_demodulation,[],[f4518,f4487]) ).
fof(f4682,plain,
( spl144_24
| ~ spl144_193
| ~ spl144_213
| ~ spl144_375
| ~ spl144_378 ),
inference(avatar_split_clause,[],[f4680,f3360,f3343,f2465,f2370,f1557]) ).
fof(f4680,plain,
( e10 = e12
| ~ spl144_193
| ~ spl144_213
| ~ spl144_375
| ~ spl144_378 ),
inference(forward_demodulation,[],[f4679,f4487]) ).
fof(f4673,plain,
( spl144_23
| ~ spl144_213
| ~ spl144_372
| ~ spl144_375
| ~ spl144_382 ),
inference(avatar_split_clause,[],[f4660,f3391,f3343,f3317,f2465,f1552]) ).
fof(f4660,plain,
( e10 = e11
| ~ spl144_213
| ~ spl144_372
| ~ spl144_375
| ~ spl144_382 ),
inference(forward_demodulation,[],[f4659,f4487]) ).
fof(f4661,plain,
( spl144_23
| ~ spl144_213
| ~ spl144_375
| ~ spl144_425
| ~ spl144_428 ),
inference(avatar_split_clause,[],[f4646,f4516,f4498,f3343,f2465,f1552]) ).
fof(f4646,plain,
( e10 = e11
| ~ spl144_213
| ~ spl144_375
| ~ spl144_425
| ~ spl144_428 ),
inference(forward_demodulation,[],[f4597,f4525]) ).
fof(f4597,plain,
( op1(e10,e10) = e11
| ~ spl144_213
| ~ spl144_375
| ~ spl144_425 ),
inference(forward_demodulation,[],[f4500,f4487]) ).
fof(f4643,plain,
( spl144_24
| ~ spl144_188
| ~ spl144_213
| ~ spl144_375
| ~ spl144_377 ),
inference(avatar_split_clause,[],[f4641,f3351,f3343,f2465,f2346,f1557]) ).
fof(f4641,plain,
( e10 = e12
| ~ spl144_188
| ~ spl144_213
| ~ spl144_375
| ~ spl144_377 ),
inference(forward_demodulation,[],[f4640,f4487]) ).
fof(f4640,plain,
( e12 = e13
| ~ spl144_188
| ~ spl144_377 ),
inference(forward_demodulation,[],[f3353,f2348]) ).
fof(f4620,plain,
( spl144_24
| ~ spl144_201
| ~ spl144_213
| ~ spl144_372
| ~ spl144_375
| ~ spl144_382
| ~ spl144_424 ),
inference(avatar_split_clause,[],[f4611,f4494,f3391,f3343,f3317,f2465,f2408,f1557]) ).
fof(f4611,plain,
( e10 = e12
| ~ spl144_201
| ~ spl144_213
| ~ spl144_372
| ~ spl144_375
| ~ spl144_382
| ~ spl144_424 ),
inference(duplicate_literal_removal,[],[f4610]) ).
fof(f4610,plain,
( e10 = e12
| e10 = e12
| ~ spl144_201
| ~ spl144_213
| ~ spl144_372
| ~ spl144_375
| ~ spl144_382
| ~ spl144_424 ),
inference(forward_demodulation,[],[f4609,f2467]) ).
fof(f4609,plain,
( e12 = op1(e10,e12)
| e10 = e12
| ~ spl144_201
| ~ spl144_213
| ~ spl144_372
| ~ spl144_375
| ~ spl144_382
| ~ spl144_424 ),
inference(forward_demodulation,[],[f4608,f4591]) ).
fof(f4591,plain,
( e10 = e11
| ~ spl144_213
| ~ spl144_372
| ~ spl144_375
| ~ spl144_382 ),
inference(forward_demodulation,[],[f4583,f4487]) ).
fof(f4583,plain,
( e11 = e13
| ~ spl144_372
| ~ spl144_382 ),
inference(superposition,[],[f3393,f3319]) ).
fof(f4608,plain,
( e10 = e12
| e12 = op1(e11,e12)
| ~ spl144_201
| ~ spl144_213
| ~ spl144_372
| ~ spl144_375
| ~ spl144_382
| ~ spl144_424 ),
inference(duplicate_literal_removal,[],[f4607]) ).
fof(f4607,plain,
( e10 = e12
| e10 = e12
| e12 = op1(e11,e12)
| ~ spl144_201
| ~ spl144_213
| ~ spl144_372
| ~ spl144_375
| ~ spl144_382
| ~ spl144_424 ),
inference(forward_demodulation,[],[f4606,f4591]) ).
fof(f4606,plain,
( e11 = e12
| e10 = e12
| e12 = op1(e11,e12)
| ~ spl144_201
| ~ spl144_213
| ~ spl144_372
| ~ spl144_375
| ~ spl144_382
| ~ spl144_424 ),
inference(forward_demodulation,[],[f4605,f4496]) ).
fof(f4605,plain,
( op1(e10,e10) = e12
| e10 = e12
| e12 = op1(e11,e12)
| ~ spl144_201
| ~ spl144_213
| ~ spl144_372
| ~ spl144_375
| ~ spl144_382 ),
inference(forward_demodulation,[],[f4604,f4591]) ).
fof(f4604,plain,
( e12 = op1(e11,e10)
| e10 = e12
| e12 = op1(e11,e12)
| ~ spl144_201
| ~ spl144_213
| ~ spl144_372
| ~ spl144_375
| ~ spl144_382 ),
inference(duplicate_literal_removal,[],[f4603]) ).
fof(f4603,plain,
( e12 = op1(e11,e10)
| e10 = e12
| e12 = op1(e11,e12)
| e12 = op1(e11,e10)
| ~ spl144_201
| ~ spl144_213
| ~ spl144_372
| ~ spl144_375
| ~ spl144_382 ),
inference(forward_demodulation,[],[f4602,f4487]) ).
fof(f4602,plain,
( e10 = e12
| e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| e12 = op1(e11,e10)
| ~ spl144_201
| ~ spl144_213
| ~ spl144_372
| ~ spl144_375
| ~ spl144_382 ),
inference(forward_demodulation,[],[f4540,f4591]) ).
fof(f4540,plain,
( e11 = e12
| e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| e12 = op1(e11,e10)
| ~ spl144_201 ),
inference(forward_demodulation,[],[f582,f2410]) ).
fof(f582,plain,
( e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| e12 = op1(e11,e11)
| e12 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f4601,plain,
( spl144_380
| spl144_287
| spl144_26
| spl144_28
| ~ spl144_201
| ~ spl144_429 ),
inference(avatar_split_clause,[],[f4541,f4520,f2408,f1577,f1567,f2850,f3375]) ).
fof(f2850,plain,
( spl144_287
<=> e12 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_287])]) ).
fof(f4541,plain,
( e12 = e13
| e11 = e12
| e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| ~ spl144_201
| ~ spl144_429 ),
inference(forward_demodulation,[],[f4540,f4522]) ).
fof(f4594,plain,
( ~ spl144_424
| ~ spl144_213
| ~ spl144_375
| spl144_425 ),
inference(avatar_split_clause,[],[f4502,f4498,f3343,f2465,f4494]) ).
fof(f4502,plain,
( op1(e10,e10) != e11
| ~ spl144_213
| ~ spl144_375
| spl144_425 ),
inference(forward_demodulation,[],[f4499,f4487]) ).
fof(f4499,plain,
( e11 != op1(e10,e13)
| spl144_425 ),
inference(avatar_component_clause,[],[f4498]) ).
fof(f4572,plain,
( spl144_25
| ~ spl144_209
| ~ spl144_370 ),
inference(avatar_split_clause,[],[f4564,f3309,f2446,f1562]) ).
fof(f4564,plain,
( e10 = e13
| ~ spl144_209
| ~ spl144_370 ),
inference(superposition,[],[f2448,f3311]) ).
fof(f4562,plain,
( ~ spl144_218
| ~ spl144_88
| spl144_266 ),
inference(avatar_split_clause,[],[f2741,f2737,f1865,f2489]) ).
fof(f2737,plain,
( spl144_266
<=> op1(e10,e11) = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_266])]) ).
fof(f2741,plain,
( e10 != op1(e10,e11)
| ~ spl144_88
| spl144_266 ),
inference(forward_demodulation,[],[f2739,f1867]) ).
fof(f2739,plain,
( op1(e10,e11) != op1(e12,e11)
| spl144_266 ),
inference(avatar_component_clause,[],[f2737]) ).
fof(f4552,plain,
( ~ spl144_430
| ~ spl144_193 ),
inference(avatar_split_clause,[],[f4545,f2370,f4549]) ).
fof(f4545,plain,
( ~ sP78
| ~ spl144_193 ),
inference(trivial_inequality_removal,[],[f4544]) ).
fof(f4544,plain,
( e12 != e12
| ~ sP78
| ~ spl144_193 ),
inference(forward_demodulation,[],[f1156,f2372]) ).
fof(f1156,plain,
( e12 != op1(e12,e10)
| ~ sP78 ),
inference(cnf_transformation,[],[f311]) ).
fof(f4543,plain,
( spl144_26
| ~ spl144_193
| ~ spl144_381 ),
inference(avatar_split_clause,[],[f4542,f3387,f2370,f1567]) ).
fof(f4542,plain,
( e11 = e12
| ~ spl144_193
| ~ spl144_381 ),
inference(forward_demodulation,[],[f2372,f3389]) ).
fof(f4535,plain,
( spl144_28
| ~ spl144_427
| ~ spl144_429 ),
inference(avatar_split_clause,[],[f4527,f4520,f4509,f1577]) ).
fof(f4527,plain,
( e12 = e13
| ~ spl144_427
| ~ spl144_429 ),
inference(forward_demodulation,[],[f4522,f4511]) ).
fof(f4529,plain,
( spl144_24
| ~ spl144_213
| ~ spl144_375
| ~ spl144_427
| ~ spl144_429 ),
inference(avatar_split_clause,[],[f4528,f4520,f4509,f3343,f2465,f1557]) ).
fof(f4528,plain,
( e10 = e12
| ~ spl144_213
| ~ spl144_375
| ~ spl144_427
| ~ spl144_429 ),
inference(forward_demodulation,[],[f4527,f4487]) ).
fof(f4526,plain,
( spl144_222
| ~ spl144_213
| ~ spl144_375
| ~ spl144_428 ),
inference(avatar_split_clause,[],[f4525,f4516,f3343,f2465,f2508]) ).
fof(f4523,plain,
( spl144_428
| spl144_429
| spl144_378
| spl144_184 ),
inference(avatar_split_clause,[],[f577,f2327,f3360,f4520,f4516]) ).
fof(f577,plain,
( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f4512,plain,
( spl144_426
| spl144_427
| spl144_193
| spl144_315 ),
inference(avatar_split_clause,[],[f575,f2996,f2370,f4509,f4505]) ).
fof(f2996,plain,
( spl144_315
<=> e12 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_315])]) ).
fof(f575,plain,
( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f4501,plain,
( spl144_424
| spl144_386
| spl144_276
| spl144_425 ),
inference(avatar_split_clause,[],[f572,f4498,f2791,f3418,f4494]) ).
fof(f572,plain,
( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f4486,plain,
( spl144_222
| spl144_218
| spl144_213
| spl144_209 ),
inference(avatar_split_clause,[],[f570,f2446,f2465,f2489,f2508]) ).
fof(f570,plain,
( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f4484,plain,
( ~ spl144_104
| spl144_248
| ~ spl144_258 ),
inference(avatar_split_clause,[],[f2700,f2694,f2643,f1937]) ).
fof(f2643,plain,
( spl144_248
<=> op2(e23,e22) = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_248])]) ).
fof(f2700,plain,
( e21 != h3(e12)
| spl144_248
| ~ spl144_258 ),
inference(superposition,[],[f2645,f2696]) ).
fof(f2645,plain,
( op2(e23,e22) != h3(e12)
| spl144_248 ),
inference(avatar_component_clause,[],[f2643]) ).
fof(f4474,plain,
( spl144_421
| spl144_394
| spl144_422
| spl144_423 ),
inference(avatar_split_clause,[],[f564,f4471,f4467,f3494,f4463]) ).
fof(f564,plain,
( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e20 = op2(e23,e23) )
& ( e23 = op2(e23,e22)
| e22 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22) )
& ( e23 = op2(e23,e21)
| e22 = op2(e23,e21)
| e21 = op2(e23,e21)
| e20 = op2(e23,e21) )
& ( e23 = op2(e23,e20)
| e22 = op2(e23,e20)
| e21 = op2(e23,e20)
| e20 = op2(e23,e20) )
& ( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) )
& ( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) )
& ( e23 = op2(e22,e21)
| e22 = op2(e22,e21)
| e21 = op2(e22,e21)
| e20 = op2(e22,e21) )
& ( e23 = op2(e22,e20)
| e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e20 = op2(e22,e20) )
& ( e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e21 = op2(e21,e23)
| e20 = op2(e21,e23) )
& ( e23 = op2(e21,e22)
| e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22) )
& ( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) )
& ( e23 = op2(e21,e20)
| e22 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20) )
& ( e23 = op2(e20,e23)
| e22 = op2(e20,e23)
| e21 = op2(e20,e23)
| e20 = op2(e20,e23) )
& ( e23 = op2(e20,e22)
| e22 = op2(e20,e22)
| e21 = op2(e20,e22)
| e20 = op2(e20,e22) )
& ( e23 = op2(e20,e21)
| e22 = op2(e20,e21)
| e21 = op2(e20,e21)
| e20 = op2(e20,e21) )
& ( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| e20 = op2(e20,e20) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f4434,plain,
( spl144_3
| ~ spl144_90
| ~ spl144_98
| ~ spl144_349
| ~ spl144_354
| ~ spl144_361
| ~ spl144_393
| ~ spl144_415
| ~ spl144_417 ),
inference(avatar_split_clause,[],[f4433,f4356,f4213,f3479,f3241,f3203,f3174,f1910,f1874,f1452]) ).
fof(f4433,plain,
( e20 = e23
| ~ spl144_90
| ~ spl144_98
| ~ spl144_349
| ~ spl144_354
| ~ spl144_361
| ~ spl144_393
| ~ spl144_415
| ~ spl144_417 ),
inference(forward_demodulation,[],[f4432,f4427]) ).
fof(f4427,plain,
( e20 = e21
| ~ spl144_90
| ~ spl144_98
| ~ spl144_349
| ~ spl144_354
| ~ spl144_361
| ~ spl144_393
| ~ spl144_415
| ~ spl144_417 ),
inference(forward_demodulation,[],[f4426,f4363]) ).
fof(f4363,plain,
( e20 = h2(e10)
| ~ spl144_98
| ~ spl144_354
| ~ spl144_361
| ~ spl144_417 ),
inference(forward_demodulation,[],[f4362,f3205]) ).
fof(f4362,plain,
( op2(e22,e21) = h2(e10)
| ~ spl144_98
| ~ spl144_361
| ~ spl144_417 ),
inference(forward_demodulation,[],[f4361,f1912]) ).
fof(f4361,plain,
( h2(e10) = op2(h2(e12),e21)
| ~ spl144_361
| ~ spl144_417 ),
inference(superposition,[],[f3243,f4358]) ).
fof(f4426,plain,
( e21 = h2(e10)
| ~ spl144_90
| ~ spl144_98
| ~ spl144_349
| ~ spl144_361
| ~ spl144_393
| ~ spl144_415 ),
inference(forward_demodulation,[],[f4234,f4190]) ).
fof(f4234,plain,
( h2(e10) = h3(e11)
| ~ spl144_90
| ~ spl144_98
| ~ spl144_349
| ~ spl144_361
| ~ spl144_415 ),
inference(forward_demodulation,[],[f4195,f4223]) ).
fof(f4223,plain,
( op2(e22,e23) = h2(e10)
| ~ spl144_98
| ~ spl144_361
| ~ spl144_415 ),
inference(forward_demodulation,[],[f4222,f1912]) ).
fof(f4195,plain,
( op2(e22,e23) = h3(e11)
| ~ spl144_90
| ~ spl144_349 ),
inference(superposition,[],[f3176,f1876]) ).
fof(f4422,plain,
( spl144_5
| ~ spl144_178
| ~ spl144_416 ),
inference(avatar_split_clause,[],[f4385,f4314,f2299,f1462]) ).
fof(f4385,plain,
( e21 = e23
| ~ spl144_178
| ~ spl144_416 ),
inference(superposition,[],[f2300,f4316]) ).
fof(f4421,plain,
( spl144_399
| spl144_395
| spl144_420
| spl144_401 ),
inference(avatar_split_clause,[],[f559,f3575,f4418,f3500,f3557]) ).
fof(f559,plain,
( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f4409,plain,
( spl144_409
| spl144_418
| spl144_419
| spl144_403 ),
inference(avatar_split_clause,[],[f554,f3655,f4406,f4402,f3715]) ).
fof(f554,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f4397,plain,
( spl144_357
| spl144_116
| spl144_2
| spl144_1
| ~ spl144_389
| ~ spl144_406 ),
inference(avatar_split_clause,[],[f4379,f3673,f3456,f1442,f1447,f1991,f3221]) ).
fof(f4379,plain,
( e20 = e21
| e20 = e22
| e20 = h1(e12)
| e20 = op2(e20,e23)
| ~ spl144_389
| ~ spl144_406 ),
inference(forward_demodulation,[],[f4378,f3675]) ).
fof(f4378,plain,
( e20 = e22
| e20 = h1(e12)
| e20 = op2(e20,e23)
| e20 = op2(e20,e21)
| ~ spl144_389 ),
inference(forward_demodulation,[],[f1253,f3458]) ).
fof(f1253,plain,
( e20 = h1(e12)
| e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21) ),
inference(forward_demodulation,[],[f522,f407]) ).
fof(f522,plain,
( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4375,plain,
( spl144_5
| ~ spl144_366
| ~ spl144_393 ),
inference(avatar_split_clause,[],[f4373,f3479,f3277,f1462]) ).
fof(f4373,plain,
( e21 = e23
| ~ spl144_366
| ~ spl144_393 ),
inference(forward_demodulation,[],[f3279,f3481]) ).
fof(f4364,plain,
( spl144_3
| ~ spl144_357
| ~ spl144_364 ),
inference(avatar_split_clause,[],[f4348,f3269,f3221,f1452]) ).
fof(f4348,plain,
( e20 = e23
| ~ spl144_357
| ~ spl144_364 ),
inference(superposition,[],[f3222,f3271]) ).
fof(f4359,plain,
( spl144_178
| spl144_4
| spl144_417
| spl144_1
| ~ spl144_98
| ~ spl144_350
| ~ spl144_410 ),
inference(avatar_split_clause,[],[f4294,f4014,f3179,f1910,f1442,f4356,f1457,f2299]) ).
fof(f4294,plain,
( e20 = e21
| e21 = h2(e11)
| e21 = e22
| e21 = op2(e21,e20)
| ~ spl144_98
| ~ spl144_350
| ~ spl144_410 ),
inference(forward_demodulation,[],[f4094,f4016]) ).
fof(f4094,plain,
( e21 = h2(e11)
| e21 = e22
| e21 = op2(e21,e23)
| e21 = op2(e21,e20)
| ~ spl144_98
| ~ spl144_350 ),
inference(forward_demodulation,[],[f4093,f3840]) ).
fof(f4093,plain,
( e21 = e22
| e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e20)
| ~ spl144_98 ),
inference(forward_demodulation,[],[f1243,f1912]) ).
fof(f4344,plain,
( spl144_357
| spl144_2
| spl144_1
| ~ spl144_108
| ~ spl144_348
| ~ spl144_389
| ~ spl144_406 ),
inference(avatar_split_clause,[],[f4342,f3673,f3456,f3169,f1955,f1442,f1447,f3221]) ).
fof(f4342,plain,
( e20 = e21
| e20 = e22
| e20 = op2(e20,e23)
| ~ spl144_108
| ~ spl144_348
| ~ spl144_389
| ~ spl144_406 ),
inference(duplicate_literal_removal,[],[f4341]) ).
fof(f4341,plain,
( e20 = e21
| e20 = e22
| e20 = e21
| e20 = op2(e20,e23)
| ~ spl144_108
| ~ spl144_348
| ~ spl144_389
| ~ spl144_406 ),
inference(forward_demodulation,[],[f4340,f4047]) ).
fof(f4047,plain,
( e21 = h1(e11)
| ~ spl144_108
| ~ spl144_348
| ~ spl144_406 ),
inference(forward_demodulation,[],[f3999,f3675]) ).
fof(f3999,plain,
( op2(e20,e21) = h1(e11)
| ~ spl144_108
| ~ spl144_348 ),
inference(superposition,[],[f3171,f1957]) ).
fof(f4340,plain,
( e20 = h1(e11)
| e20 = e22
| e20 = e21
| e20 = op2(e20,e23)
| ~ spl144_108
| ~ spl144_348
| ~ spl144_389 ),
inference(forward_demodulation,[],[f4339,f3999]) ).
fof(f4339,plain,
( e20 = e22
| e20 = e21
| e20 = op2(e20,e23)
| e20 = op2(e20,e21)
| ~ spl144_108
| ~ spl144_389 ),
inference(forward_demodulation,[],[f4338,f3458]) ).
fof(f4338,plain,
( e20 = e21
| e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| ~ spl144_108 ),
inference(forward_demodulation,[],[f1253,f1957]) ).
fof(f4334,plain,
( spl144_357
| spl144_3
| spl144_2
| spl144_1
| ~ spl144_164
| ~ spl144_389
| ~ spl144_403
| ~ spl144_406 ),
inference(avatar_split_clause,[],[f4193,f3673,f3655,f3456,f2230,f1442,f1447,f1452,f3221]) ).
fof(f4193,plain,
( e20 = e21
| e20 = e22
| e20 = e23
| e20 = op2(e20,e23)
| ~ spl144_164
| ~ spl144_389
| ~ spl144_403
| ~ spl144_406 ),
inference(forward_demodulation,[],[f4192,f3675]) ).
fof(f4192,plain,
( e20 = e22
| e20 = e23
| e20 = op2(e20,e23)
| e20 = op2(e20,e21)
| ~ spl144_164
| ~ spl144_389
| ~ spl144_403 ),
inference(forward_demodulation,[],[f3681,f3458]) ).
fof(f3681,plain,
( e20 = e23
| e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| ~ spl144_164
| ~ spl144_403 ),
inference(forward_demodulation,[],[f1253,f3659]) ).
fof(f3659,plain,
( e23 = h1(e12)
| ~ spl144_164
| ~ spl144_403 ),
inference(superposition,[],[f3657,f2232]) ).
fof(f4318,plain,
( spl144_4
| ~ spl144_98
| ~ spl144_106 ),
inference(avatar_split_clause,[],[f4300,f1946,f1910,f1457]) ).
fof(f4300,plain,
( e21 = e22
| ~ spl144_98
| ~ spl144_106 ),
inference(superposition,[],[f1947,f1912]) ).
fof(f4317,plain,
( spl144_416
| spl144_6
| spl144_415
| spl144_3
| ~ spl144_98
| ~ spl144_350
| ~ spl144_410 ),
inference(avatar_split_clause,[],[f4292,f4014,f3179,f1910,f1452,f4213,f1467,f4314]) ).
fof(f4292,plain,
( e20 = e23
| e23 = h2(e11)
| e22 = e23
| e23 = op2(e21,e20)
| ~ spl144_98
| ~ spl144_350
| ~ spl144_410 ),
inference(forward_demodulation,[],[f4084,f4016]) ).
fof(f4084,plain,
( e23 = h2(e11)
| e22 = e23
| e23 = op2(e21,e23)
| e23 = op2(e21,e20)
| ~ spl144_98
| ~ spl144_350 ),
inference(forward_demodulation,[],[f3859,f3840]) ).
fof(f3859,plain,
( e22 = e23
| e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e20)
| ~ spl144_98 ),
inference(forward_demodulation,[],[f1239,f1912]) ).
fof(f4310,plain,
( spl144_412
| spl144_1
| spl144_3
| spl144_72
| ~ spl144_90
| ~ spl144_258
| ~ spl144_349
| ~ spl144_360
| ~ spl144_367
| ~ spl144_393 ),
inference(avatar_split_clause,[],[f4221,f3479,f3287,f3236,f3174,f2694,f1874,f1791,f1452,f1442,f4022]) ).
fof(f4221,plain,
( e20 = h3(e10)
| e20 = e23
| e20 = e21
| e20 = op2(e23,e23)
| ~ spl144_90
| ~ spl144_258
| ~ spl144_349
| ~ spl144_360
| ~ spl144_367
| ~ spl144_393 ),
inference(forward_demodulation,[],[f3988,f4191]) ).
fof(f3988,plain,
( e20 = e23
| e20 = e21
| e20 = op2(e23,e23)
| e20 = op2(e23,e21)
| ~ spl144_258
| ~ spl144_367 ),
inference(forward_demodulation,[],[f3941,f3289]) ).
fof(f4291,plain,
( spl144_4
| ~ spl144_85
| ~ spl144_414 ),
inference(avatar_split_clause,[],[f4251,f4034,f1850,f1457]) ).
fof(f4251,plain,
( e21 = e22
| ~ spl144_85
| ~ spl144_414 ),
inference(superposition,[],[f4036,f1852]) ).
fof(f4036,plain,
( e21 = op2(e23,e23)
| ~ spl144_414 ),
inference(avatar_component_clause,[],[f4034]) ).
fof(f4278,plain,
( spl144_3
| ~ spl144_365
| ~ spl144_410 ),
inference(avatar_split_clause,[],[f4277,f4014,f3273,f1452]) ).
fof(f4277,plain,
( e20 = e23
| ~ spl144_365
| ~ spl144_410 ),
inference(forward_demodulation,[],[f3275,f4016]) ).
fof(f4268,plain,
( spl144_114
| ~ spl144_98
| ~ spl144_106
| ~ spl144_361
| ~ spl144_393
| ~ spl144_410
| ~ spl144_415 ),
inference(avatar_split_clause,[],[f4267,f4213,f4014,f3479,f3241,f1946,f1910,f1982]) ).
fof(f4267,plain,
( e20 = h2(e12)
| ~ spl144_98
| ~ spl144_106
| ~ spl144_361
| ~ spl144_393
| ~ spl144_410
| ~ spl144_415 ),
inference(forward_demodulation,[],[f1947,f4266]) ).
fof(f4266,plain,
( e20 = e21
| ~ spl144_98
| ~ spl144_106
| ~ spl144_361
| ~ spl144_393
| ~ spl144_410
| ~ spl144_415 ),
inference(forward_demodulation,[],[f4265,f4016]) ).
fof(f4265,plain,
( e21 = op2(e21,e23)
| ~ spl144_98
| ~ spl144_106
| ~ spl144_361
| ~ spl144_393
| ~ spl144_415 ),
inference(forward_demodulation,[],[f4264,f4224]) ).
fof(f4224,plain,
( e21 = h2(e10)
| ~ spl144_98
| ~ spl144_361
| ~ spl144_393
| ~ spl144_415 ),
inference(forward_demodulation,[],[f4223,f3481]) ).
fof(f4254,plain,
( spl144_368
| spl144_3
| spl144_6
| spl144_5
| ~ spl144_98
| ~ spl144_354
| ~ spl144_406 ),
inference(avatar_split_clause,[],[f4087,f3673,f3203,f1910,f1462,f1467,f1452,f3291]) ).
fof(f4087,plain,
( e21 = e23
| e22 = e23
| e20 = e23
| e23 = op2(e23,e21)
| ~ spl144_98
| ~ spl144_354
| ~ spl144_406 ),
inference(forward_demodulation,[],[f3857,f3675]) ).
fof(f3857,plain,
( e22 = e23
| e20 = e23
| e23 = op2(e23,e21)
| e23 = op2(e20,e21)
| ~ spl144_98
| ~ spl144_354 ),
inference(forward_demodulation,[],[f3566,f1912]) ).
fof(f4238,plain,
( spl144_5
| ~ spl144_391
| ~ spl144_402 ),
inference(avatar_split_clause,[],[f3731,f3649,f3471,f1462]) ).
fof(f3731,plain,
( e21 = e23
| ~ spl144_391
| ~ spl144_402 ),
inference(forward_demodulation,[],[f3651,f3473]) ).
fof(f4233,plain,
( spl144_2
| spl144_6
| spl144_4
| ~ spl144_90
| ~ spl144_354
| ~ spl144_393
| ~ spl144_402 ),
inference(avatar_split_clause,[],[f4220,f3649,f3479,f3203,f1874,f1457,f1467,f1447]) ).
fof(f4220,plain,
( e21 = e22
| e22 = e23
| e20 = e22
| ~ spl144_90
| ~ spl144_354
| ~ spl144_393
| ~ spl144_402 ),
inference(forward_demodulation,[],[f4219,f3481]) ).
fof(f4219,plain,
( e22 = e23
| e20 = e22
| e22 = op2(e22,e23)
| ~ spl144_90
| ~ spl144_354
| ~ spl144_402 ),
inference(duplicate_literal_removal,[],[f4218]) ).
fof(f4218,plain,
( e22 = e23
| e22 = e23
| e20 = e22
| e22 = op2(e22,e23)
| ~ spl144_90
| ~ spl144_354
| ~ spl144_402 ),
inference(forward_demodulation,[],[f4189,f1876]) ).
fof(f4189,plain,
( e22 = e23
| e20 = e22
| e22 = h3(e12)
| e22 = op2(e22,e23)
| ~ spl144_354
| ~ spl144_402 ),
inference(forward_demodulation,[],[f4188,f3651]) ).
fof(f4217,plain,
( spl144_2
| ~ spl144_85
| ~ spl144_412 ),
inference(avatar_split_clause,[],[f4207,f4022,f1850,f1447]) ).
fof(f4207,plain,
( e20 = e22
| ~ spl144_85
| ~ spl144_412 ),
inference(superposition,[],[f4024,f1852]) ).
fof(f4024,plain,
( e20 = op2(e23,e23)
| ~ spl144_412 ),
inference(avatar_component_clause,[],[f4022]) ).
fof(f4216,plain,
( spl144_365
| spl144_415
| spl144_6
| ~ spl144_98
| ~ spl144_350
| ~ spl144_407 ),
inference(avatar_split_clause,[],[f4086,f3705,f3179,f1910,f1467,f4213,f3273]) ).
fof(f4086,plain,
( e22 = e23
| e23 = h2(e11)
| e23 = op2(e21,e23)
| ~ spl144_98
| ~ spl144_350
| ~ spl144_407 ),
inference(duplicate_literal_removal,[],[f4085]) ).
fof(f4085,plain,
( e22 = e23
| e23 = h2(e11)
| e22 = e23
| e23 = op2(e21,e23)
| ~ spl144_98
| ~ spl144_350
| ~ spl144_407 ),
inference(forward_demodulation,[],[f4084,f3707]) ).
fof(f4187,plain,
( spl144_1
| ~ spl144_354
| ~ spl144_364
| ~ spl144_393
| ~ spl144_413 ),
inference(avatar_split_clause,[],[f4174,f4030,f3479,f3269,f3203,f1442]) ).
fof(f4174,plain,
( e20 = e21
| ~ spl144_354
| ~ spl144_364
| ~ spl144_393
| ~ spl144_413 ),
inference(forward_demodulation,[],[f4173,f3205]) ).
fof(f4173,plain,
( e21 = op2(e22,e21)
| ~ spl144_364
| ~ spl144_393
| ~ spl144_413 ),
inference(forward_demodulation,[],[f3481,f4128]) ).
fof(f4169,plain,
( spl144_1
| ~ spl144_393
| ~ spl144_411 ),
inference(avatar_split_clause,[],[f4160,f4018,f3479,f1442]) ).
fof(f4160,plain,
( e20 = e21
| ~ spl144_393
| ~ spl144_411 ),
inference(forward_demodulation,[],[f3481,f4020]) ).
fof(f4147,plain,
( spl144_3
| ~ spl144_388
| ~ spl144_396 ),
inference(avatar_split_clause,[],[f4146,f3506,f3432,f1452]) ).
fof(f4146,plain,
( e20 = e23
| ~ spl144_388
| ~ spl144_396 ),
inference(forward_demodulation,[],[f3434,f3508]) ).
fof(f4135,plain,
( spl144_6
| ~ spl144_387
| ~ spl144_389 ),
inference(avatar_split_clause,[],[f4099,f3456,f3428,f1467]) ).
fof(f4099,plain,
( e22 = e23
| ~ spl144_387
| ~ spl144_389 ),
inference(superposition,[],[f3458,f3430]) ).
fof(f4081,plain,
( spl144_2
| ~ spl144_98
| ~ spl144_114 ),
inference(avatar_split_clause,[],[f3973,f1982,f1910,f1447]) ).
fof(f3973,plain,
( e20 = e22
| ~ spl144_98
| ~ spl144_114 ),
inference(forward_demodulation,[],[f1912,f1984]) ).
fof(f1984,plain,
( e20 = h2(e12)
| ~ spl144_114 ),
inference(avatar_component_clause,[],[f1982]) ).
fof(f4061,plain,
( spl144_2
| ~ spl144_390
| ~ spl144_396 ),
inference(avatar_split_clause,[],[f3634,f3506,f3460,f1447]) ).
fof(f3634,plain,
( e20 = e22
| ~ spl144_390
| ~ spl144_396 ),
inference(superposition,[],[f3508,f3462]) ).
fof(f4055,plain,
( spl144_3
| ~ spl144_98
| ~ spl144_114
| ~ spl144_350
| ~ spl144_390
| ~ spl144_396
| ~ spl144_410 ),
inference(avatar_split_clause,[],[f4046,f4014,f3506,f3460,f3179,f1982,f1910,f1452]) ).
fof(f4046,plain,
( e20 = e23
| ~ spl144_98
| ~ spl144_114
| ~ spl144_350
| ~ spl144_390
| ~ spl144_396
| ~ spl144_410 ),
inference(duplicate_literal_removal,[],[f4045]) ).
fof(f4045,plain,
( e20 = e23
| e20 = e23
| ~ spl144_98
| ~ spl144_114
| ~ spl144_350
| ~ spl144_390
| ~ spl144_396
| ~ spl144_410 ),
inference(forward_demodulation,[],[f3985,f4016]) ).
fof(f3985,plain,
( e20 = e23
| e23 = op2(e21,e23)
| ~ spl144_98
| ~ spl144_114
| ~ spl144_350
| ~ spl144_390
| ~ spl144_396 ),
inference(duplicate_literal_removal,[],[f3984]) ).
fof(f3984,plain,
( e20 = e23
| e20 = e23
| e23 = op2(e21,e23)
| ~ spl144_98
| ~ spl144_114
| ~ spl144_350
| ~ spl144_390
| ~ spl144_396 ),
inference(forward_demodulation,[],[f3983,f3965]) ).
fof(f3965,plain,
( e20 = h2(e11)
| ~ spl144_98
| ~ spl144_350
| ~ spl144_390
| ~ spl144_396 ),
inference(forward_demodulation,[],[f3842,f3634]) ).
fof(f3842,plain,
( e22 = h2(e11)
| ~ spl144_98
| ~ spl144_350
| ~ spl144_390 ),
inference(forward_demodulation,[],[f3840,f3462]) ).
fof(f3983,plain,
( e23 = h2(e11)
| e20 = e23
| e23 = op2(e21,e23)
| ~ spl144_98
| ~ spl144_114
| ~ spl144_350
| ~ spl144_390
| ~ spl144_396 ),
inference(forward_demodulation,[],[f3982,f3909]) ).
fof(f3909,plain,
( op2(e21,e20) = h2(e11)
| ~ spl144_114
| ~ spl144_350 ),
inference(superposition,[],[f3181,f1984]) ).
fof(f3982,plain,
( e20 = e23
| e23 = op2(e21,e23)
| e23 = op2(e21,e20)
| ~ spl144_98
| ~ spl144_390
| ~ spl144_396 ),
inference(duplicate_literal_removal,[],[f3981]) ).
fof(f3981,plain,
( e20 = e23
| e20 = e23
| e23 = op2(e21,e23)
| e23 = op2(e21,e20)
| ~ spl144_98
| ~ spl144_390
| ~ spl144_396 ),
inference(forward_demodulation,[],[f3980,f3634]) ).
fof(f3980,plain,
( e22 = e23
| e20 = e23
| e23 = op2(e21,e23)
| e23 = op2(e21,e20)
| ~ spl144_98
| ~ spl144_390
| ~ spl144_396 ),
inference(forward_demodulation,[],[f3960,f3462]) ).
fof(f3960,plain,
( e20 = e23
| e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e20)
| ~ spl144_98
| ~ spl144_390
| ~ spl144_396 ),
inference(forward_demodulation,[],[f3859,f3634]) ).
fof(f4042,plain,
( spl144_409
| ~ spl144_100
| ~ spl144_108
| ~ spl144_348
| ~ spl144_387
| ~ spl144_390
| ~ spl144_396
| ~ spl144_406
| ~ spl144_413 ),
inference(avatar_split_clause,[],[f4041,f4030,f3673,f3506,f3460,f3428,f3169,f1955,f1919,f3715]) ).
fof(f4041,plain,
( e20 = op2(e20,e20)
| ~ spl144_100
| ~ spl144_108
| ~ spl144_348
| ~ spl144_387
| ~ spl144_390
| ~ spl144_396
| ~ spl144_406
| ~ spl144_413 ),
inference(forward_demodulation,[],[f4040,f4002]) ).
fof(f4002,plain,
( e20 = e21
| ~ spl144_100
| ~ spl144_108
| ~ spl144_390
| ~ spl144_396 ),
inference(forward_demodulation,[],[f3996,f3634]) ).
fof(f3996,plain,
( e21 = e22
| ~ spl144_100
| ~ spl144_108 ),
inference(superposition,[],[f1957,f1921]) ).
fof(f4040,plain,
( op2(e20,e20) = e21
| ~ spl144_100
| ~ spl144_108
| ~ spl144_348
| ~ spl144_387
| ~ spl144_390
| ~ spl144_396
| ~ spl144_406
| ~ spl144_413 ),
inference(forward_demodulation,[],[f4032,f4009]) ).
fof(f4009,plain,
( e20 = e23
| ~ spl144_100
| ~ spl144_108
| ~ spl144_348
| ~ spl144_387
| ~ spl144_390
| ~ spl144_396
| ~ spl144_406 ),
inference(forward_demodulation,[],[f4008,f4002]) ).
fof(f4008,plain,
( e21 = e23
| ~ spl144_100
| ~ spl144_108
| ~ spl144_348
| ~ spl144_387
| ~ spl144_406 ),
inference(forward_demodulation,[],[f4007,f3675]) ).
fof(f4007,plain,
( e23 = op2(e20,e21)
| ~ spl144_100
| ~ spl144_108
| ~ spl144_348
| ~ spl144_387 ),
inference(forward_demodulation,[],[f3999,f3848]) ).
fof(f4037,plain,
( spl144_413
| spl144_358
| spl144_393
| spl144_414 ),
inference(avatar_split_clause,[],[f549,f4034,f3479,f3226,f4030]) ).
fof(f549,plain,
( e21 = op2(e23,e23)
| e21 = op2(e22,e23)
| e21 = op2(e21,e23)
| e21 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4025,plain,
( spl144_357
| spl144_410
| spl144_411
| spl144_412 ),
inference(avatar_split_clause,[],[f547,f4022,f4018,f4014,f3221]) ).
fof(f547,plain,
( e20 = op2(e23,e23)
| e20 = op2(e22,e23)
| e20 = op2(e21,e23)
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3974,plain,
( spl144_1
| ~ spl144_106
| ~ spl144_114 ),
inference(avatar_split_clause,[],[f3923,f1982,f1946,f1442]) ).
fof(f3923,plain,
( e20 = e21
| ~ spl144_106
| ~ spl144_114 ),
inference(forward_demodulation,[],[f1947,f1984]) ).
fof(f3915,plain,
( spl144_1
| ~ spl144_258
| ~ spl144_397 ),
inference(avatar_split_clause,[],[f3864,f3510,f2694,f1442]) ).
fof(f3510,plain,
( spl144_397
<=> e20 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_397])]) ).
fof(f3864,plain,
( e20 = e21
| ~ spl144_258
| ~ spl144_397 ),
inference(superposition,[],[f3512,f2696]) ).
fof(f3512,plain,
( e20 = op2(e23,e22)
| ~ spl144_397 ),
inference(avatar_component_clause,[],[f3510]) ).
fof(f3907,plain,
( spl144_114
| ~ spl144_106
| ~ spl144_258
| ~ spl144_397 ),
inference(avatar_split_clause,[],[f3906,f3510,f2694,f1946,f1982]) ).
fof(f3906,plain,
( e20 = h2(e12)
| ~ spl144_106
| ~ spl144_258
| ~ spl144_397 ),
inference(forward_demodulation,[],[f1947,f3864]) ).
fof(f3879,plain,
( spl144_365
| spl144_6
| spl144_5
| ~ spl144_98
| ~ spl144_178
| ~ spl144_390 ),
inference(avatar_split_clause,[],[f3862,f3460,f2299,f1910,f1462,f1467,f3273]) ).
fof(f3862,plain,
( e21 = e23
| e22 = e23
| e23 = op2(e21,e23)
| ~ spl144_98
| ~ spl144_178
| ~ spl144_390 ),
inference(forward_demodulation,[],[f3861,f2300]) ).
fof(f3861,plain,
( e22 = e23
| e23 = op2(e21,e23)
| e23 = op2(e21,e20)
| ~ spl144_98
| ~ spl144_390 ),
inference(duplicate_literal_removal,[],[f3860]) ).
fof(f3860,plain,
( e22 = e23
| e22 = e23
| e23 = op2(e21,e23)
| e23 = op2(e21,e20)
| ~ spl144_98
| ~ spl144_390 ),
inference(forward_demodulation,[],[f3859,f3462]) ).
fof(f3852,plain,
( spl144_6
| ~ spl144_92
| ~ spl144_98 ),
inference(avatar_split_clause,[],[f3837,f1910,f1883,f1467]) ).
fof(f3837,plain,
( e22 = e23
| ~ spl144_92
| ~ spl144_98 ),
inference(superposition,[],[f1912,f1885]) ).
fof(f1885,plain,
( e23 = h2(e12)
| ~ spl144_92 ),
inference(avatar_component_clause,[],[f1883]) ).
fof(f3835,plain,
( spl144_2
| ~ spl144_354
| ~ spl144_405 ),
inference(avatar_split_clause,[],[f3833,f3666,f3203,f1447]) ).
fof(f3666,plain,
( spl144_405
<=> e22 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_405])]) ).
fof(f3833,plain,
( e20 = e22
| ~ spl144_354
| ~ spl144_405 ),
inference(forward_demodulation,[],[f3668,f3205]) ).
fof(f3668,plain,
( e22 = op2(e22,e21)
| ~ spl144_405 ),
inference(avatar_component_clause,[],[f3666]) ).
fof(f3829,plain,
( spl144_4
| ~ spl144_404
| ~ spl144_406 ),
inference(avatar_split_clause,[],[f3679,f3673,f3662,f1457]) ).
fof(f3679,plain,
( e21 = e22
| ~ spl144_404
| ~ spl144_406 ),
inference(forward_demodulation,[],[f3664,f3675]) ).
fof(f3821,plain,
( spl144_4
| ~ spl144_178
| ~ spl144_407 ),
inference(avatar_split_clause,[],[f3807,f3705,f2299,f1457]) ).
fof(f3807,plain,
( e21 = e22
| ~ spl144_178
| ~ spl144_407 ),
inference(forward_demodulation,[],[f3707,f2300]) ).
fof(f3809,plain,
( spl144_1
| ~ spl144_354
| ~ spl144_392 ),
inference(avatar_split_clause,[],[f3769,f3475,f3203,f1442]) ).
fof(f3475,plain,
( spl144_392
<=> e21 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_392])]) ).
fof(f3769,plain,
( e20 = e21
| ~ spl144_354
| ~ spl144_392 ),
inference(forward_demodulation,[],[f3477,f3205]) ).
fof(f3477,plain,
( e21 = op2(e22,e21)
| ~ spl144_392 ),
inference(avatar_component_clause,[],[f3475]) ).
fof(f3793,plain,
( spl144_6
| ~ spl144_402
| ~ spl144_408 ),
inference(avatar_split_clause,[],[f3755,f3709,f3649,f1467]) ).
fof(f3755,plain,
( e22 = e23
| ~ spl144_402
| ~ spl144_408 ),
inference(forward_demodulation,[],[f3651,f3711]) ).
fof(f3770,plain,
( spl144_2
| ~ spl144_402
| ~ spl144_403
| ~ spl144_408
| ~ spl144_409 ),
inference(avatar_split_clause,[],[f3756,f3715,f3709,f3655,f3649,f1447]) ).
fof(f3756,plain,
( e20 = e22
| ~ spl144_402
| ~ spl144_403
| ~ spl144_408
| ~ spl144_409 ),
inference(forward_demodulation,[],[f3755,f3719]) ).
fof(f3719,plain,
( e20 = e23
| ~ spl144_403
| ~ spl144_409 ),
inference(superposition,[],[f3717,f3657]) ).
fof(f3752,plain,
( spl144_4
| ~ spl144_92
| ~ spl144_106
| ~ spl144_402
| ~ spl144_408 ),
inference(avatar_split_clause,[],[f3750,f3709,f3649,f1946,f1883,f1457]) ).
fof(f3750,plain,
( e21 = e22
| ~ spl144_92
| ~ spl144_106
| ~ spl144_402
| ~ spl144_408 ),
inference(forward_demodulation,[],[f3711,f3749]) ).
fof(f3749,plain,
( e21 = op2(e22,e20)
| ~ spl144_92
| ~ spl144_106
| ~ spl144_402 ),
inference(forward_demodulation,[],[f3651,f3694]) ).
fof(f3694,plain,
( e21 = e23
| ~ spl144_92
| ~ spl144_106 ),
inference(superposition,[],[f1947,f1885]) ).
fof(f3742,plain,
( spl144_4
| ~ spl144_391
| ~ spl144_408 ),
inference(avatar_split_clause,[],[f3728,f3709,f3471,f1457]) ).
fof(f3728,plain,
( e21 = e22
| ~ spl144_391
| ~ spl144_408 ),
inference(forward_demodulation,[],[f3711,f3473]) ).
fof(f3736,plain,
( spl144_2
| ~ spl144_176
| ~ spl144_404 ),
inference(avatar_split_clause,[],[f3671,f3662,f2290,f1447]) ).
fof(f3671,plain,
( e20 = e22
| ~ spl144_176
| ~ spl144_404 ),
inference(forward_demodulation,[],[f3664,f2291]) ).
fof(f2291,plain,
( e20 = op2(e20,e21)
| ~ spl144_176 ),
inference(avatar_component_clause,[],[f2290]) ).
fof(f3727,plain,
( spl144_1
| ~ spl144_390
| ~ spl144_391
| ~ spl144_396
| ~ spl144_409 ),
inference(avatar_split_clause,[],[f3726,f3715,f3506,f3471,f3460,f1442]) ).
fof(f3726,plain,
( e20 = e21
| ~ spl144_390
| ~ spl144_391
| ~ spl144_396
| ~ spl144_409 ),
inference(forward_demodulation,[],[f3725,f3717]) ).
fof(f3725,plain,
( op2(e20,e20) = e21
| ~ spl144_390
| ~ spl144_391
| ~ spl144_396 ),
inference(forward_demodulation,[],[f3473,f3634]) ).
fof(f3724,plain,
( spl144_178
| spl144_391
| spl144_345
| spl144_108 ),
inference(avatar_split_clause,[],[f1250,f1955,f3153,f3471,f2299]) ).
fof(f1250,plain,
( e21 = h1(e12)
| e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20) ),
inference(forward_demodulation,[],[f525,f407]) ).
fof(f525,plain,
( e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f4]) ).
fof(f3723,plain,
( spl144_404
| spl144_389
| spl144_247
| spl144_100 ),
inference(avatar_split_clause,[],[f1249,f1919,f2638,f3456,f3662]) ).
fof(f2638,plain,
( spl144_247
<=> e22 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_247])]) ).
fof(f1249,plain,
( e22 = h1(e12)
| e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21) ),
inference(forward_demodulation,[],[f526,f407]) ).
fof(f526,plain,
( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f4]) ).
fof(f3718,plain,
( spl144_409
| ~ spl144_390
| ~ spl144_396
| ~ spl144_408 ),
inference(avatar_split_clause,[],[f3713,f3709,f3506,f3460,f3715]) ).
fof(f3713,plain,
( e20 = op2(e20,e20)
| ~ spl144_390
| ~ spl144_396
| ~ spl144_408 ),
inference(forward_demodulation,[],[f3711,f3634]) ).
fof(f3712,plain,
( spl144_407
| spl144_408
| spl144_232
| spl144_100 ),
inference(avatar_split_clause,[],[f1248,f1919,f2560,f3709,f3705]) ).
fof(f2560,plain,
( spl144_232
<=> e22 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_232])]) ).
fof(f1248,plain,
( e22 = h1(e12)
| e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20) ),
inference(forward_demodulation,[],[f527,f407]) ).
fof(f527,plain,
( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f4]) ).
fof(f3700,plain,
( spl144_176
| ~ spl144_390
| ~ spl144_396
| ~ spl144_404 ),
inference(avatar_split_clause,[],[f3688,f3662,f3506,f3460,f2290]) ).
fof(f3688,plain,
( e20 = op2(e20,e21)
| ~ spl144_390
| ~ spl144_396
| ~ spl144_404 ),
inference(forward_demodulation,[],[f3664,f3634]) ).
fof(f3685,plain,
( spl144_1
| ~ spl144_390
| ~ spl144_396
| ~ spl144_404
| ~ spl144_406 ),
inference(avatar_split_clause,[],[f3680,f3673,f3662,f3506,f3460,f1442]) ).
fof(f3680,plain,
( e20 = e21
| ~ spl144_390
| ~ spl144_396
| ~ spl144_404
| ~ spl144_406 ),
inference(forward_demodulation,[],[f3679,f3634]) ).
fof(f3678,plain,
( spl144_1
| ~ spl144_176
| ~ spl144_406 ),
inference(avatar_split_clause,[],[f3677,f3673,f2290,f1442]) ).
fof(f3677,plain,
( e20 = e21
| ~ spl144_176
| ~ spl144_406 ),
inference(forward_demodulation,[],[f3675,f2291]) ).
fof(f3676,plain,
( spl144_406
| spl144_392
| spl144_347
| spl144_106 ),
inference(avatar_split_clause,[],[f1242,f1946,f3164,f3475,f3673]) ).
fof(f3164,plain,
( spl144_347
<=> e21 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_347])]) ).
fof(f1242,plain,
( e21 = h2(e12)
| e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e20,e21) ),
inference(forward_demodulation,[],[f533,f415]) ).
fof(f533,plain,
( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3669,plain,
( spl144_404
| spl144_405
| spl144_230
| spl144_98 ),
inference(avatar_split_clause,[],[f1240,f1910,f2549,f3666,f3662]) ).
fof(f1240,plain,
( e22 = h2(e12)
| e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e20,e21) ),
inference(forward_demodulation,[],[f535,f415]) ).
fof(f535,plain,
( e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e21,e21)
| e22 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3658,plain,
( spl144_403
| ~ spl144_390
| ~ spl144_396
| ~ spl144_402 ),
inference(avatar_split_clause,[],[f3653,f3649,f3506,f3460,f3655]) ).
fof(f3653,plain,
( op2(e20,e20) = e23
| ~ spl144_390
| ~ spl144_396
| ~ spl144_402 ),
inference(forward_demodulation,[],[f3651,f3634]) ).
fof(f3652,plain,
( spl144_402
| spl144_366
| spl144_5
| spl144_3
| ~ spl144_104
| ~ spl144_354 ),
inference(avatar_split_clause,[],[f3582,f3203,f1937,f1452,f1462,f3277,f3649]) ).
fof(f3582,plain,
( e20 = e23
| e21 = e23
| e23 = op2(e22,e23)
| e23 = op2(e22,e20)
| ~ spl144_104
| ~ spl144_354 ),
inference(forward_demodulation,[],[f3581,f3205]) ).
fof(f3581,plain,
( e21 = e23
| e23 = op2(e22,e23)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20)
| ~ spl144_104 ),
inference(forward_demodulation,[],[f1231,f1939]) ).
fof(f1939,plain,
( e21 = h3(e12)
| ~ spl144_104 ),
inference(avatar_component_clause,[],[f1937]) ).
fof(f3642,plain,
( spl144_368
| spl144_92
| spl144_3
| ~ spl144_176
| ~ spl144_354 ),
inference(avatar_split_clause,[],[f3580,f3203,f2290,f1452,f1883,f3291]) ).
fof(f3580,plain,
( e20 = e23
| e23 = h2(e12)
| e23 = op2(e23,e21)
| ~ spl144_176
| ~ spl144_354 ),
inference(duplicate_literal_removal,[],[f3579]) ).
fof(f3579,plain,
( e20 = e23
| e20 = e23
| e23 = h2(e12)
| e23 = op2(e23,e21)
| ~ spl144_176
| ~ spl144_354 ),
inference(forward_demodulation,[],[f3566,f2291]) ).
fof(f3633,plain,
( spl144_1
| ~ spl144_104
| ~ spl144_112 ),
inference(avatar_split_clause,[],[f3518,f1973,f1937,f1442]) ).
fof(f3518,plain,
( e20 = e21
| ~ spl144_104
| ~ spl144_112 ),
inference(superposition,[],[f1975,f1939]) ).
fof(f1975,plain,
( e20 = h3(e12)
| ~ spl144_112 ),
inference(avatar_component_clause,[],[f1973]) ).
fof(f3604,plain,
( spl144_3
| ~ spl144_174
| ~ spl144_387 ),
inference(avatar_split_clause,[],[f3602,f3428,f2281,f1452]) ).
fof(f3602,plain,
( e20 = e23
| ~ spl144_174
| ~ spl144_387 ),
inference(forward_demodulation,[],[f3430,f2283]) ).
fof(f3600,plain,
( spl144_5
| ~ spl144_90
| ~ spl144_104 ),
inference(avatar_split_clause,[],[f3486,f1937,f1874,f1462]) ).
fof(f3486,plain,
( e21 = e23
| ~ spl144_90
| ~ spl144_104 ),
inference(superposition,[],[f1939,f1876]) ).
fof(f3594,plain,
( spl144_2
| ~ spl144_174
| ~ spl144_389 ),
inference(avatar_split_clause,[],[f3585,f3456,f2281,f1447]) ).
fof(f3585,plain,
( e20 = e22
| ~ spl144_174
| ~ spl144_389 ),
inference(forward_demodulation,[],[f3458,f2283]) ).
fof(f3578,plain,
( spl144_401
| ~ spl144_96
| ~ spl144_104
| ~ spl144_388 ),
inference(avatar_split_clause,[],[f3569,f3432,f1937,f1901,f3575]) ).
fof(f3569,plain,
( e23 = op2(e21,e21)
| ~ spl144_96
| ~ spl144_104
| ~ spl144_388 ),
inference(forward_demodulation,[],[f3434,f3485]) ).
fof(f3485,plain,
( e21 = e22
| ~ spl144_96
| ~ spl144_104 ),
inference(superposition,[],[f1939,f1902]) ).
fof(f3570,plain,
( spl144_176
| ~ spl144_96
| ~ spl144_104
| ~ spl144_174 ),
inference(avatar_split_clause,[],[f3550,f2281,f1937,f1901,f2290]) ).
fof(f3550,plain,
( e20 = op2(e20,e21)
| ~ spl144_96
| ~ spl144_104
| ~ spl144_174 ),
inference(forward_demodulation,[],[f2283,f3485]) ).
fof(f3565,plain,
( spl144_400
| ~ spl144_96
| ~ spl144_104
| ~ spl144_387 ),
inference(avatar_split_clause,[],[f3540,f3428,f1937,f1901,f3562]) ).
fof(f3540,plain,
( e23 = op2(e20,e21)
| ~ spl144_96
| ~ spl144_104
| ~ spl144_387 ),
inference(forward_demodulation,[],[f3430,f3485]) ).
fof(f3560,plain,
( ~ spl144_399
| ~ spl144_96
| ~ spl144_104
| spl144_396 ),
inference(avatar_split_clause,[],[f3517,f3506,f1937,f1901,f3557]) ).
fof(f3517,plain,
( e20 != op2(e21,e21)
| ~ spl144_96
| ~ spl144_104
| spl144_396 ),
inference(forward_demodulation,[],[f3507,f3485]) ).
fof(f3507,plain,
( e20 != op2(e21,e22)
| spl144_396 ),
inference(avatar_component_clause,[],[f3506]) ).
fof(f3555,plain,
( ~ spl144_398
| ~ spl144_96
| ~ spl144_104
| spl144_397 ),
inference(avatar_split_clause,[],[f3514,f3510,f1937,f1901,f3552]) ).
fof(f3552,plain,
( spl144_398
<=> e20 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_398])]) ).
fof(f3514,plain,
( e20 != op2(e23,e21)
| ~ spl144_96
| ~ spl144_104
| spl144_397 ),
inference(forward_demodulation,[],[f3511,f3485]) ).
fof(f3511,plain,
( e20 != op2(e23,e22)
| spl144_397 ),
inference(avatar_component_clause,[],[f3510]) ).
fof(f3544,plain,
( spl144_3
| ~ spl144_96
| ~ spl144_104
| ~ spl144_112
| ~ spl144_349
| ~ spl144_354
| ~ spl144_387 ),
inference(avatar_split_clause,[],[f3542,f3428,f3203,f3174,f1973,f1937,f1901,f1452]) ).
fof(f3542,plain,
( e20 = e23
| ~ spl144_96
| ~ spl144_104
| ~ spl144_112
| ~ spl144_349
| ~ spl144_354
| ~ spl144_387 ),
inference(forward_demodulation,[],[f3541,f3530]) ).
fof(f3530,plain,
( e20 = op2(e20,e20)
| ~ spl144_96
| ~ spl144_104
| ~ spl144_112
| ~ spl144_349
| ~ spl144_354 ),
inference(forward_demodulation,[],[f3529,f3518]) ).
fof(f3529,plain,
( e20 = op2(e21,e20)
| ~ spl144_96
| ~ spl144_104
| ~ spl144_112
| ~ spl144_349
| ~ spl144_354 ),
inference(forward_demodulation,[],[f3528,f3485]) ).
fof(f3528,plain,
( e20 = op2(e22,e20)
| ~ spl144_104
| ~ spl144_112
| ~ spl144_349
| ~ spl144_354 ),
inference(forward_demodulation,[],[f3525,f3492]) ).
fof(f3492,plain,
( e20 = h3(e11)
| ~ spl144_104
| ~ spl144_349
| ~ spl144_354 ),
inference(forward_demodulation,[],[f3490,f3205]) ).
fof(f3490,plain,
( op2(e22,e21) = h3(e11)
| ~ spl144_104
| ~ spl144_349 ),
inference(superposition,[],[f3176,f1939]) ).
fof(f3525,plain,
( op2(e22,e20) = h3(e11)
| ~ spl144_112
| ~ spl144_349 ),
inference(superposition,[],[f3176,f1975]) ).
fof(f3541,plain,
( op2(e20,e20) = e23
| ~ spl144_96
| ~ spl144_104
| ~ spl144_112
| ~ spl144_387 ),
inference(forward_demodulation,[],[f3540,f3518]) ).
fof(f3531,plain,
( spl144_6
| ~ spl144_90
| ~ spl144_96 ),
inference(avatar_split_clause,[],[f3464,f1901,f1874,f1467]) ).
fof(f3464,plain,
( e22 = e23
| ~ spl144_90
| ~ spl144_96 ),
inference(superposition,[],[f1902,f1876]) ).
fof(f3513,plain,
( spl144_174
| spl144_396
| spl144_397
| spl144_112 ),
inference(avatar_split_clause,[],[f1236,f1973,f3510,f3506,f2281]) ).
fof(f1236,plain,
( e20 = h3(e12)
| e20 = op2(e23,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22) ),
inference(forward_demodulation,[],[f539,f411]) ).
fof(f539,plain,
( e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3503,plain,
( ~ spl144_395
| ~ spl144_96
| ~ spl144_104
| spl144_394 ),
inference(avatar_split_clause,[],[f3498,f3494,f1937,f1901,f3500]) ).
fof(f3498,plain,
( e21 != op2(e21,e21)
| ~ spl144_96
| ~ spl144_104
| spl144_394 ),
inference(forward_demodulation,[],[f3496,f3485]) ).
fof(f3496,plain,
( e21 != op2(e22,e22)
| spl144_394 ),
inference(avatar_component_clause,[],[f3494]) ).
fof(f3497,plain,
( ~ spl144_394
| ~ spl144_90
| ~ spl144_96
| spl144_393 ),
inference(avatar_split_clause,[],[f3483,f3479,f1901,f1874,f3494]) ).
fof(f3483,plain,
( e21 != op2(e22,e22)
| ~ spl144_90
| ~ spl144_96
| spl144_393 ),
inference(forward_demodulation,[],[f3480,f3464]) ).
fof(f3480,plain,
( e21 != op2(e22,e23)
| spl144_393 ),
inference(avatar_component_clause,[],[f3479]) ).
fof(f3482,plain,
( spl144_391
| spl144_392
| spl144_393
| spl144_104 ),
inference(avatar_split_clause,[],[f1235,f1937,f3479,f3475,f3471]) ).
fof(f1235,plain,
( e21 = h3(e12)
| e21 = op2(e22,e23)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) ),
inference(forward_demodulation,[],[f540,f411]) ).
fof(f540,plain,
( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3463,plain,
( spl144_389
| spl144_390
| spl144_228
| spl144_96 ),
inference(avatar_split_clause,[],[f1232,f1901,f2538,f3460,f3456]) ).
fof(f2538,plain,
( spl144_228
<=> e22 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_228])]) ).
fof(f1232,plain,
( e22 = h3(e12)
| e22 = op2(e23,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) ),
inference(forward_demodulation,[],[f543,f411]) ).
fof(f543,plain,
( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3435,plain,
( spl144_387
| spl144_388
| spl144_170
| spl144_90 ),
inference(avatar_split_clause,[],[f1230,f1874,f2263,f3432,f3428]) ).
fof(f2263,plain,
( spl144_170
<=> e23 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_170])]) ).
fof(f1230,plain,
( e23 = h3(e12)
| e23 = op2(e23,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) ),
inference(forward_demodulation,[],[f545,f411]) ).
fof(f545,plain,
( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3421,plain,
( spl144_386
| spl144_201
| spl144_317
| spl144_23 ),
inference(avatar_split_clause,[],[f1265,f1552,f3007,f2408,f3418]) ).
fof(f3007,plain,
( spl144_317
<=> e11 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_317])]) ).
fof(f1265,plain,
( e10 = e11
| e11 = op1(e13,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) ),
inference(forward_demodulation,[],[f581,f1227]) ).
fof(f581,plain,
( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3414,plain,
( spl144_384
| spl144_385
| spl144_319
| spl144_24 ),
inference(avatar_split_clause,[],[f1264,f1557,f3018,f3411,f3407]) ).
fof(f1264,plain,
( e10 = e12
| e12 = op1(e13,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11) ),
inference(forward_demodulation,[],[f583,f1227]) ).
fof(f583,plain,
( e12 = op1(e13,e11)
| e12 = op1(e12,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3405,plain,
( ~ spl144_383
| ~ spl144_180
| spl144_270 ),
inference(avatar_split_clause,[],[f3258,f2759,f2308,f3402]) ).
fof(f3402,plain,
( spl144_383
<=> e13 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_383])]) ).
fof(f2759,plain,
( spl144_270
<=> op1(e11,e11) = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_270])]) ).
fof(f3258,plain,
( e13 != op1(e11,e11)
| ~ spl144_180
| spl144_270 ),
inference(superposition,[],[f2761,f2310]) ).
fof(f2761,plain,
( op1(e11,e11) != op1(e13,e11)
| spl144_270 ),
inference(avatar_component_clause,[],[f2759]) ).
fof(f3394,plain,
( spl144_381
| spl144_280
| spl144_382
| spl144_23 ),
inference(avatar_split_clause,[],[f1262,f1552,f3391,f2813,f3387]) ).
fof(f2813,plain,
( spl144_280
<=> e11 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_280])]) ).
fof(f1262,plain,
( e10 = e11
| e11 = op1(e12,e13)
| e11 = op1(e12,e12)
| e11 = op1(e12,e10) ),
inference(forward_demodulation,[],[f588,f1227]) ).
fof(f588,plain,
( e11 = op1(e12,e13)
| e11 = op1(e12,e12)
| e11 = op1(e12,e11)
| e11 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3378,plain,
( spl144_379
| spl144_380
| spl144_188
| spl144_26 ),
inference(avatar_split_clause,[],[f1260,f1567,f2346,f3375,f3371]) ).
fof(f1260,plain,
( e11 = e12
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) ),
inference(forward_demodulation,[],[f591,f1225]) ).
fof(f591,plain,
( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3363,plain,
( spl144_378
| spl144_377
| spl144_372
| spl144_25 ),
inference(avatar_split_clause,[],[f1259,f1562,f3317,f3351,f3360]) ).
fof(f1259,plain,
( e10 = e13
| e13 = op1(e12,e13)
| e13 = op1(e12,e12)
| e13 = op1(e12,e10) ),
inference(forward_demodulation,[],[f592,f1227]) ).
fof(f592,plain,
( e13 = op1(e12,e13)
| e13 = op1(e12,e12)
| e13 = op1(e12,e11)
| e13 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3354,plain,
( spl144_375
| spl144_376
| spl144_377
| spl144_27 ),
inference(avatar_split_clause,[],[f1258,f1572,f3351,f3347,f3343]) ).
fof(f1258,plain,
( e11 = e13
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) ),
inference(forward_demodulation,[],[f593,f1225]) ).
fof(f593,plain,
( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3334,plain,
( spl144_373
| spl144_272
| spl144_374
| spl144_23 ),
inference(avatar_split_clause,[],[f1257,f1552,f3331,f2770,f3327]) ).
fof(f2770,plain,
( spl144_272
<=> e10 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_272])]) ).
fof(f1257,plain,
( e10 = e11
| e10 = op1(e13,e13)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10) ),
inference(forward_demodulation,[],[f594,f1225]) ).
fof(f594,plain,
( e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3320,plain,
( spl144_370
| spl144_371
| spl144_372
| spl144_28 ),
inference(avatar_split_clause,[],[f1254,f1577,f3317,f3313,f3309]) ).
fof(f1254,plain,
( e12 = e13
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) ),
inference(forward_demodulation,[],[f601,f521]) ).
fof(f601,plain,
( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3307,plain,
( ~ spl144_369
| ~ spl144_180
| spl144_267 ),
inference(avatar_split_clause,[],[f3257,f2743,f2308,f3304]) ).
fof(f3304,plain,
( spl144_369
<=> e13 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_369])]) ).
fof(f2743,plain,
( spl144_267
<=> op1(e10,e11) = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_267])]) ).
fof(f3257,plain,
( e13 != op1(e10,e11)
| ~ spl144_180
| spl144_267 ),
inference(superposition,[],[f2745,f2310]) ).
fof(f2745,plain,
( op1(e10,e11) != op1(e13,e11)
| spl144_267 ),
inference(avatar_component_clause,[],[f2743]) ).
fof(f3296,plain,
( spl144_5
| ~ spl144_170
| ~ spl144_258 ),
inference(avatar_split_clause,[],[f3295,f2694,f2263,f1462]) ).
fof(f3295,plain,
( e21 = e23
| ~ spl144_170
| ~ spl144_258 ),
inference(forward_demodulation,[],[f2265,f2696]) ).
fof(f2265,plain,
( e23 = op2(e23,e22)
| ~ spl144_170 ),
inference(avatar_component_clause,[],[f2263]) ).
fof(f3294,plain,
( spl144_367
| spl144_368
| spl144_170
| spl144_6 ),
inference(avatar_split_clause,[],[f1229,f1467,f2263,f3291,f3287]) ).
fof(f1229,plain,
( e22 = e23
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) ),
inference(forward_demodulation,[],[f552,f518]) ).
fof(f518,plain,
e22 = op2(e23,e23),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
( e22 = op2(e23,e23)
& e21 = op2(e23,op2(e23,e23))
& e20 = op2(op2(e23,e23),op2(e23,op2(e23,e23))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f552,plain,
( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3280,plain,
( spl144_364
| spl144_365
| spl144_366
| spl144_6 ),
inference(avatar_split_clause,[],[f1228,f1467,f3277,f3273,f3269]) ).
fof(f1228,plain,
( e22 = e23
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) ),
inference(forward_demodulation,[],[f553,f518]) ).
fof(f553,plain,
( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3267,plain,
( ~ spl144_363
| ~ spl144_180 ),
inference(avatar_split_clause,[],[f1153,f2308,f3264]) ).
fof(f1153,plain,
( e13 != op1(e13,e11)
| ~ sP79 ),
inference(cnf_transformation,[],[f310]) ).
fof(f310,plain,
( ( e13 != op1(e13,e11)
& e12 != op1(e12,e11)
& e11 != op1(e11,e11)
& e10 != op1(e10,e11) )
| ~ sP79 ),
inference(nnf_transformation,[],[f102]) ).
fof(f3256,plain,
( spl144_184
| spl144_180
| spl144_28
| spl144_27 ),
inference(avatar_split_clause,[],[f1256,f1572,f1577,f2308,f2327]) ).
fof(f1256,plain,
( e11 = e13
| e12 = e13
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) ),
inference(forward_demodulation,[],[f1255,f1225]) ).
fof(f1255,plain,
( e12 = e13
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) ),
inference(forward_demodulation,[],[f600,f521]) ).
fof(f600,plain,
( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3253,plain,
( spl144_66
| ~ spl144_168
| ~ spl144_352
| ~ spl144_354
| ~ spl144_362 ),
inference(avatar_split_clause,[],[f3252,f3246,f3203,f3191,f2251,f1764]) ).
fof(f3246,plain,
( spl144_362
<=> h4(e10) = op2(h4(e12),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_362])]) ).
fof(f3252,plain,
( e20 = h4(e10)
| ~ spl144_168
| ~ spl144_352
| ~ spl144_354
| ~ spl144_362 ),
inference(forward_demodulation,[],[f3251,f3205]) ).
fof(f3251,plain,
( op2(e22,e21) = h4(e10)
| ~ spl144_168
| ~ spl144_352
| ~ spl144_362 ),
inference(forward_demodulation,[],[f3250,f2253]) ).
fof(f3250,plain,
( h4(e10) = op2(h4(e12),e21)
| ~ spl144_352
| ~ spl144_362 ),
inference(forward_demodulation,[],[f3248,f3193]) ).
fof(f3248,plain,
( h4(e10) = op2(h4(e12),h4(e11))
| ~ spl144_362 ),
inference(avatar_component_clause,[],[f3246]) ).
fof(f3249,plain,
spl144_362,
inference(avatar_split_clause,[],[f1197,f3246]) ).
fof(f1197,plain,
h4(e10) = op2(h4(e12),h4(e11)),
inference(forward_demodulation,[],[f1196,f1195]) ).
fof(f1196,plain,
h4(e10) = op2(h4(e12),op2(e23,h4(e12))),
inference(forward_demodulation,[],[f417,f419]) ).
fof(f417,plain,
op2(op2(e23,e23),op2(e23,op2(e23,e23))) = h4(e10),
inference(cnf_transformation,[],[f17]) ).
fof(f3244,plain,
spl144_361,
inference(avatar_split_clause,[],[f1194,f3241]) ).
fof(f1194,plain,
h2(e10) = op2(h2(e12),h2(e11)),
inference(forward_demodulation,[],[f1193,f1192]) ).
fof(f1193,plain,
h2(e10) = op2(h2(e12),op2(e21,h2(e12))),
inference(forward_demodulation,[],[f413,f415]) ).
fof(f413,plain,
h2(e10) = op2(op2(e21,e21),op2(e21,op2(e21,e21))),
inference(cnf_transformation,[],[f15]) ).
fof(f3239,plain,
spl144_360,
inference(avatar_split_clause,[],[f1191,f3236]) ).
fof(f1191,plain,
h3(e10) = op2(h3(e12),h3(e11)),
inference(forward_demodulation,[],[f1190,f1189]) ).
fof(f1190,plain,
h3(e10) = op2(h3(e12),op2(e22,h3(e12))),
inference(forward_demodulation,[],[f409,f411]) ).
fof(f409,plain,
h3(e10) = op2(op2(e22,e22),op2(e22,op2(e22,e22))),
inference(cnf_transformation,[],[f16]) ).
fof(f3234,plain,
spl144_359,
inference(avatar_split_clause,[],[f1188,f3231]) ).
fof(f1188,plain,
h1(e10) = op2(h1(e12),h1(e11)),
inference(forward_demodulation,[],[f1187,f1186]) ).
fof(f1187,plain,
h1(e10) = op2(h1(e12),op2(e20,h1(e12))),
inference(forward_demodulation,[],[f405,f407]) ).
fof(f405,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,op2(e20,e20))),
inference(cnf_transformation,[],[f14]) ).
fof(f3229,plain,
( spl144_177
| spl144_175
| spl144_356
| ~ spl144_358 ),
inference(avatar_split_clause,[],[f883,f3226,f3217,f2286,f2295]) ).
fof(f883,plain,
( e21 != op2(e21,e23)
| sP14
| sP13
| sP12 ),
inference(cnf_transformation,[],[f100]) ).
fof(f3224,plain,
( spl144_177
| spl144_175
| spl144_356
| ~ spl144_357 ),
inference(avatar_split_clause,[],[f882,f3221,f3217,f2286,f2295]) ).
fof(f882,plain,
( e20 != op2(e20,e23)
| sP14
| sP13
| sP12 ),
inference(cnf_transformation,[],[f100]) ).
fof(f3215,plain,
( ~ spl144_355
| spl144_340
| ~ spl144_354 ),
inference(avatar_split_clause,[],[f3210,f3203,f3127,f3212]) ).
fof(f3127,plain,
( spl144_340
<=> op2(e22,e20) = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_340])]) ).
fof(f3210,plain,
( e20 != op2(e22,e20)
| spl144_340
| ~ spl144_354 ),
inference(superposition,[],[f3129,f3205]) ).
fof(f3129,plain,
( op2(e22,e20) != op2(e22,e21)
| spl144_340 ),
inference(avatar_component_clause,[],[f3127]) ).
fof(f3206,plain,
( spl144_354
| ~ spl144_168
| ~ spl144_352
| ~ spl144_353 ),
inference(avatar_split_clause,[],[f3201,f3196,f3191,f2251,f3203]) ).
fof(f3196,plain,
( spl144_353
<=> e20 = op2(h4(e12),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_353])]) ).
fof(f3201,plain,
( e20 = op2(e22,e21)
| ~ spl144_168
| ~ spl144_352
| ~ spl144_353 ),
inference(forward_demodulation,[],[f3200,f2253]) ).
fof(f3200,plain,
( e20 = op2(h4(e12),e21)
| ~ spl144_352
| ~ spl144_353 ),
inference(forward_demodulation,[],[f3198,f3193]) ).
fof(f3198,plain,
( e20 = op2(h4(e12),h4(e11))
| ~ spl144_353 ),
inference(avatar_component_clause,[],[f3196]) ).
fof(f3199,plain,
spl144_353,
inference(avatar_split_clause,[],[f1224,f3196]) ).
fof(f1224,plain,
e20 = op2(h4(e12),h4(e11)),
inference(forward_demodulation,[],[f1223,f1195]) ).
fof(f1223,plain,
e20 = op2(h4(e12),op2(e23,h4(e12))),
inference(forward_demodulation,[],[f516,f419]) ).
fof(f516,plain,
e20 = op2(op2(e23,e23),op2(e23,op2(e23,e23))),
inference(cnf_transformation,[],[f13]) ).
fof(f3194,plain,
( spl144_352
| ~ spl144_168
| ~ spl144_258
| ~ spl144_351 ),
inference(avatar_split_clause,[],[f3189,f3184,f2694,f2251,f3191]) ).
fof(f3184,plain,
( spl144_351
<=> h4(e11) = op2(e23,h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_351])]) ).
fof(f3189,plain,
( e21 = h4(e11)
| ~ spl144_168
| ~ spl144_258
| ~ spl144_351 ),
inference(forward_demodulation,[],[f3188,f2696]) ).
fof(f3188,plain,
( op2(e23,e22) = h4(e11)
| ~ spl144_168
| ~ spl144_351 ),
inference(forward_demodulation,[],[f3186,f2253]) ).
fof(f3186,plain,
( h4(e11) = op2(e23,h4(e12))
| ~ spl144_351 ),
inference(avatar_component_clause,[],[f3184]) ).
fof(f3187,plain,
spl144_351,
inference(avatar_split_clause,[],[f1195,f3184]) ).
fof(f3182,plain,
spl144_350,
inference(avatar_split_clause,[],[f1192,f3179]) ).
fof(f3177,plain,
spl144_349,
inference(avatar_split_clause,[],[f1189,f3174]) ).
fof(f3172,plain,
spl144_348,
inference(avatar_split_clause,[],[f1186,f3169]) ).
fof(f3167,plain,
( ~ spl144_347
| ~ spl144_258
| spl144_346 ),
inference(avatar_split_clause,[],[f3162,f3158,f2694,f3164]) ).
fof(f3158,plain,
( spl144_346
<=> op2(e23,e21) = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_346])]) ).
fof(f3162,plain,
( e21 != op2(e23,e21)
| ~ spl144_258
| spl144_346 ),
inference(forward_demodulation,[],[f3160,f2696]) ).
fof(f3160,plain,
( op2(e23,e21) != op2(e23,e22)
| spl144_346 ),
inference(avatar_component_clause,[],[f3158]) ).
fof(f3161,plain,
~ spl144_346,
inference(avatar_split_clause,[],[f513,f3158]) ).
fof(f513,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f3156,plain,
( ~ spl144_345
| ~ spl144_258
| spl144_344 ),
inference(avatar_split_clause,[],[f3151,f3147,f2694,f3153]) ).
fof(f3147,plain,
( spl144_344
<=> op2(e23,e20) = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_344])]) ).
fof(f3151,plain,
( e21 != op2(e23,e20)
| ~ spl144_258
| spl144_344 ),
inference(forward_demodulation,[],[f3149,f2696]) ).
fof(f3149,plain,
( op2(e23,e20) != op2(e23,e22)
| spl144_344 ),
inference(avatar_component_clause,[],[f3147]) ).
fof(f3150,plain,
~ spl144_344,
inference(avatar_split_clause,[],[f511,f3147]) ).
fof(f511,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3145,plain,
~ spl144_343,
inference(avatar_split_clause,[],[f510,f3142]) ).
fof(f3142,plain,
( spl144_343
<=> op2(e23,e20) = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_343])]) ).
fof(f510,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3140,plain,
~ spl144_342,
inference(avatar_split_clause,[],[f508,f3137]) ).
fof(f3137,plain,
( spl144_342
<=> op2(e22,e21) = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_342])]) ).
fof(f508,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3135,plain,
~ spl144_341,
inference(avatar_split_clause,[],[f506,f3132]) ).
fof(f506,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3130,plain,
~ spl144_340,
inference(avatar_split_clause,[],[f504,f3127]) ).
fof(f504,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3125,plain,
~ spl144_339,
inference(avatar_split_clause,[],[f503,f3122]) ).
fof(f503,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3120,plain,
~ spl144_338,
inference(avatar_split_clause,[],[f500,f3117]) ).
fof(f3117,plain,
( spl144_338
<=> op2(e21,e20) = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_338])]) ).
fof(f500,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3115,plain,
~ spl144_337,
inference(avatar_split_clause,[],[f499,f3112]) ).
fof(f3112,plain,
( spl144_337
<=> op2(e21,e20) = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_337])]) ).
fof(f499,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3110,plain,
~ spl144_336,
inference(avatar_split_clause,[],[f497,f3107]) ).
fof(f3107,plain,
( spl144_336
<=> op2(e20,e22) = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_336])]) ).
fof(f497,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3105,plain,
~ spl144_335,
inference(avatar_split_clause,[],[f496,f3102]) ).
fof(f3102,plain,
( spl144_335
<=> op2(e20,e21) = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_335])]) ).
fof(f496,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3100,plain,
~ spl144_334,
inference(avatar_split_clause,[],[f495,f3097]) ).
fof(f3097,plain,
( spl144_334
<=> op2(e20,e21) = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_334])]) ).
fof(f495,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3095,plain,
~ spl144_333,
inference(avatar_split_clause,[],[f489,f3092]) ).
fof(f489,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3090,plain,
~ spl144_332,
inference(avatar_split_clause,[],[f487,f3087]) ).
fof(f3087,plain,
( spl144_332
<=> op2(e20,e23) = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_332])]) ).
fof(f487,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3085,plain,
~ spl144_331,
inference(avatar_split_clause,[],[f486,f3082]) ).
fof(f486,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3079,plain,
~ spl144_330,
inference(avatar_split_clause,[],[f484,f3076]) ).
fof(f484,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3074,plain,
( ~ spl144_329
| ~ spl144_258
| spl144_328 ),
inference(avatar_split_clause,[],[f3069,f3065,f2694,f3071]) ).
fof(f3065,plain,
( spl144_328
<=> op2(e20,e22) = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_328])]) ).
fof(f3069,plain,
( e21 != op2(e20,e22)
| ~ spl144_258
| spl144_328 ),
inference(forward_demodulation,[],[f3067,f2696]) ).
fof(f3067,plain,
( op2(e20,e22) != op2(e23,e22)
| spl144_328 ),
inference(avatar_component_clause,[],[f3065]) ).
fof(f3068,plain,
~ spl144_328,
inference(avatar_split_clause,[],[f482,f3065]) ).
fof(f482,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3063,plain,
~ spl144_327,
inference(avatar_split_clause,[],[f480,f3060]) ).
fof(f3060,plain,
( spl144_327
<=> op2(e20,e22) = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_327])]) ).
fof(f480,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3058,plain,
~ spl144_326,
inference(avatar_split_clause,[],[f479,f3055]) ).
fof(f3055,plain,
( spl144_326
<=> op2(e22,e21) = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_326])]) ).
fof(f479,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3053,plain,
~ spl144_325,
inference(avatar_split_clause,[],[f476,f3050]) ).
fof(f476,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3048,plain,
~ spl144_324,
inference(avatar_split_clause,[],[f475,f3045]) ).
fof(f475,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3043,plain,
~ spl144_323,
inference(avatar_split_clause,[],[f473,f3040]) ).
fof(f3040,plain,
( spl144_323
<=> op2(e22,e20) = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_323])]) ).
fof(f473,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f3038,plain,
~ spl144_322,
inference(avatar_split_clause,[],[f472,f3035]) ).
fof(f3035,plain,
( spl144_322
<=> op2(e21,e20) = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_322])]) ).
fof(f472,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f3033,plain,
~ spl144_321,
inference(avatar_split_clause,[],[f471,f3030]) ).
fof(f3030,plain,
( spl144_321
<=> op2(e21,e20) = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_321])]) ).
fof(f471,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f3026,plain,
~ spl144_320,
inference(avatar_split_clause,[],[f467,f3023]) ).
fof(f3023,plain,
( spl144_320
<=> op1(e13,e12) = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_320])]) ).
fof(f467,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f3021,plain,
( ~ spl144_319
| ~ spl144_86
| spl144_318 ),
inference(avatar_split_clause,[],[f3016,f3012,f1855,f3018]) ).
fof(f3012,plain,
( spl144_318
<=> op1(e13,e11) = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_318])]) ).
fof(f3016,plain,
( e12 != op1(e13,e11)
| ~ spl144_86
| spl144_318 ),
inference(forward_demodulation,[],[f3014,f1857]) ).
fof(f3014,plain,
( op1(e13,e11) != op1(e13,e13)
| spl144_318 ),
inference(avatar_component_clause,[],[f3012]) ).
fof(f3015,plain,
~ spl144_318,
inference(avatar_split_clause,[],[f466,f3012]) ).
fof(f466,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f3010,plain,
( ~ spl144_317
| ~ spl144_87
| spl144_316 ),
inference(avatar_split_clause,[],[f3005,f3001,f1860,f3007]) ).
fof(f3001,plain,
( spl144_316
<=> op1(e13,e11) = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_316])]) ).
fof(f3005,plain,
( e11 != op1(e13,e11)
| ~ spl144_87
| spl144_316 ),
inference(forward_demodulation,[],[f3003,f1862]) ).
fof(f3003,plain,
( op1(e13,e11) != op1(e13,e12)
| spl144_316 ),
inference(avatar_component_clause,[],[f3001]) ).
fof(f3004,plain,
~ spl144_316,
inference(avatar_split_clause,[],[f465,f3001]) ).
fof(f465,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2999,plain,
( ~ spl144_315
| ~ spl144_86
| spl144_314 ),
inference(avatar_split_clause,[],[f2994,f2990,f1855,f2996]) ).
fof(f2990,plain,
( spl144_314
<=> op1(e13,e10) = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_314])]) ).
fof(f2994,plain,
( e12 != op1(e13,e10)
| ~ spl144_86
| spl144_314 ),
inference(forward_demodulation,[],[f2992,f1857]) ).
fof(f2992,plain,
( op1(e13,e10) != op1(e13,e13)
| spl144_314 ),
inference(avatar_component_clause,[],[f2990]) ).
fof(f2993,plain,
~ spl144_314,
inference(avatar_split_clause,[],[f464,f2990]) ).
fof(f464,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2988,plain,
( ~ spl144_313
| ~ spl144_87
| spl144_312 ),
inference(avatar_split_clause,[],[f2983,f2979,f1860,f2985]) ).
fof(f2985,plain,
( spl144_313
<=> e11 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_313])]) ).
fof(f2979,plain,
( spl144_312
<=> op1(e13,e10) = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_312])]) ).
fof(f2983,plain,
( e11 != op1(e13,e10)
| ~ spl144_87
| spl144_312 ),
inference(forward_demodulation,[],[f2981,f1862]) ).
fof(f2981,plain,
( op1(e13,e10) != op1(e13,e12)
| spl144_312 ),
inference(avatar_component_clause,[],[f2979]) ).
fof(f2982,plain,
~ spl144_312,
inference(avatar_split_clause,[],[f463,f2979]) ).
fof(f463,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2977,plain,
~ spl144_311,
inference(avatar_split_clause,[],[f462,f2974]) ).
fof(f2974,plain,
( spl144_311
<=> op1(e13,e10) = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_311])]) ).
fof(f462,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2972,plain,
~ spl144_310,
inference(avatar_split_clause,[],[f461,f2969]) ).
fof(f2969,plain,
( spl144_310
<=> op1(e12,e12) = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_310])]) ).
fof(f461,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2967,plain,
( ~ spl144_309
| ~ spl144_88
| spl144_308 ),
inference(avatar_split_clause,[],[f2962,f2958,f1865,f2964]) ).
fof(f2964,plain,
( spl144_309
<=> e10 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_309])]) ).
fof(f2958,plain,
( spl144_308
<=> op1(e12,e11) = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_308])]) ).
fof(f2962,plain,
( e10 != op1(e12,e13)
| ~ spl144_88
| spl144_308 ),
inference(forward_demodulation,[],[f2960,f1867]) ).
fof(f2960,plain,
( op1(e12,e11) != op1(e12,e13)
| spl144_308 ),
inference(avatar_component_clause,[],[f2958]) ).
fof(f2961,plain,
~ spl144_308,
inference(avatar_split_clause,[],[f460,f2958]) ).
fof(f460,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2956,plain,
( ~ spl144_307
| ~ spl144_88
| spl144_306 ),
inference(avatar_split_clause,[],[f2951,f2947,f1865,f2953]) ).
fof(f2947,plain,
( spl144_306
<=> op1(e12,e11) = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_306])]) ).
fof(f2951,plain,
( e10 != op1(e12,e12)
| ~ spl144_88
| spl144_306 ),
inference(forward_demodulation,[],[f2949,f1867]) ).
fof(f2949,plain,
( op1(e12,e11) != op1(e12,e12)
| spl144_306 ),
inference(avatar_component_clause,[],[f2947]) ).
fof(f2950,plain,
~ spl144_306,
inference(avatar_split_clause,[],[f459,f2947]) ).
fof(f459,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2945,plain,
~ spl144_305,
inference(avatar_split_clause,[],[f458,f2942]) ).
fof(f458,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2940,plain,
~ spl144_304,
inference(avatar_split_clause,[],[f457,f2937]) ).
fof(f2937,plain,
( spl144_304
<=> op1(e12,e10) = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_304])]) ).
fof(f457,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2935,plain,
( ~ spl144_303
| ~ spl144_88
| spl144_302 ),
inference(avatar_split_clause,[],[f2930,f2926,f1865,f2932]) ).
fof(f2926,plain,
( spl144_302
<=> op1(e12,e10) = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_302])]) ).
fof(f2930,plain,
( e10 != op1(e12,e10)
| ~ spl144_88
| spl144_302 ),
inference(forward_demodulation,[],[f2928,f1867]) ).
fof(f2928,plain,
( op1(e12,e10) != op1(e12,e11)
| spl144_302 ),
inference(avatar_component_clause,[],[f2926]) ).
fof(f2929,plain,
~ spl144_302,
inference(avatar_split_clause,[],[f456,f2926]) ).
fof(f456,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2924,plain,
~ spl144_301,
inference(avatar_split_clause,[],[f455,f2921]) ).
fof(f455,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2919,plain,
~ spl144_300,
inference(avatar_split_clause,[],[f454,f2916]) ).
fof(f2916,plain,
( spl144_300
<=> op1(e11,e11) = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_300])]) ).
fof(f454,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2914,plain,
~ spl144_299,
inference(avatar_split_clause,[],[f453,f2911]) ).
fof(f2911,plain,
( spl144_299
<=> op1(e11,e11) = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_299])]) ).
fof(f453,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2909,plain,
~ spl144_298,
inference(avatar_split_clause,[],[f452,f2906]) ).
fof(f2906,plain,
( spl144_298
<=> op1(e11,e10) = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_298])]) ).
fof(f452,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2904,plain,
~ spl144_297,
inference(avatar_split_clause,[],[f451,f2901]) ).
fof(f451,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2899,plain,
~ spl144_296,
inference(avatar_split_clause,[],[f450,f2896]) ).
fof(f2896,plain,
( spl144_296
<=> op1(e11,e10) = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_296])]) ).
fof(f450,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2894,plain,
~ spl144_295,
inference(avatar_split_clause,[],[f449,f2891]) ).
fof(f2891,plain,
( spl144_295
<=> op1(e10,e12) = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_295])]) ).
fof(f449,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2889,plain,
~ spl144_294,
inference(avatar_split_clause,[],[f448,f2886]) ).
fof(f2886,plain,
( spl144_294
<=> op1(e10,e11) = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_294])]) ).
fof(f448,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2884,plain,
~ spl144_293,
inference(avatar_split_clause,[],[f447,f2881]) ).
fof(f2881,plain,
( spl144_293
<=> op1(e10,e11) = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_293])]) ).
fof(f447,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2879,plain,
~ spl144_292,
inference(avatar_split_clause,[],[f446,f2876]) ).
fof(f446,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2874,plain,
~ spl144_291,
inference(avatar_split_clause,[],[f445,f2871]) ).
fof(f2871,plain,
( spl144_291
<=> op1(e10,e10) = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_291])]) ).
fof(f445,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2869,plain,
~ spl144_290,
inference(avatar_split_clause,[],[f444,f2866]) ).
fof(f2866,plain,
( spl144_290
<=> op1(e10,e10) = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_290])]) ).
fof(f444,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2864,plain,
( ~ spl144_289
| ~ spl144_86
| spl144_288 ),
inference(avatar_split_clause,[],[f2859,f2855,f1855,f2861]) ).
fof(f2855,plain,
( spl144_288
<=> op1(e12,e13) = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_288])]) ).
fof(f2859,plain,
( e12 != op1(e12,e13)
| ~ spl144_86
| spl144_288 ),
inference(forward_demodulation,[],[f2857,f1857]) ).
fof(f2857,plain,
( op1(e12,e13) != op1(e13,e13)
| spl144_288 ),
inference(avatar_component_clause,[],[f2855]) ).
fof(f2858,plain,
~ spl144_288,
inference(avatar_split_clause,[],[f443,f2855]) ).
fof(f443,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2853,plain,
( ~ spl144_287
| ~ spl144_86
| spl144_286 ),
inference(avatar_split_clause,[],[f2848,f2844,f1855,f2850]) ).
fof(f2844,plain,
( spl144_286
<=> op1(e11,e13) = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_286])]) ).
fof(f2848,plain,
( e12 != op1(e11,e13)
| ~ spl144_86
| spl144_286 ),
inference(forward_demodulation,[],[f2846,f1857]) ).
fof(f2846,plain,
( op1(e11,e13) != op1(e13,e13)
| spl144_286 ),
inference(avatar_component_clause,[],[f2844]) ).
fof(f2847,plain,
~ spl144_286,
inference(avatar_split_clause,[],[f442,f2844]) ).
fof(f442,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2842,plain,
~ spl144_285,
inference(avatar_split_clause,[],[f441,f2839]) ).
fof(f2839,plain,
( spl144_285
<=> op1(e11,e13) = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_285])]) ).
fof(f441,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2837,plain,
( ~ spl144_284
| ~ spl144_86
| spl144_283 ),
inference(avatar_split_clause,[],[f2832,f2828,f1855,f2834]) ).
fof(f2834,plain,
( spl144_284
<=> e12 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_284])]) ).
fof(f2828,plain,
( spl144_283
<=> op1(e10,e13) = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_283])]) ).
fof(f2832,plain,
( e12 != op1(e10,e13)
| ~ spl144_86
| spl144_283 ),
inference(forward_demodulation,[],[f2830,f1857]) ).
fof(f2830,plain,
( op1(e10,e13) != op1(e13,e13)
| spl144_283 ),
inference(avatar_component_clause,[],[f2828]) ).
fof(f2831,plain,
~ spl144_283,
inference(avatar_split_clause,[],[f440,f2828]) ).
fof(f440,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2826,plain,
~ spl144_282,
inference(avatar_split_clause,[],[f439,f2823]) ).
fof(f2823,plain,
( spl144_282
<=> op1(e10,e13) = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_282])]) ).
fof(f439,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2821,plain,
~ spl144_281,
inference(avatar_split_clause,[],[f438,f2818]) ).
fof(f2818,plain,
( spl144_281
<=> op1(e10,e13) = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_281])]) ).
fof(f438,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2816,plain,
( ~ spl144_280
| ~ spl144_87
| spl144_279 ),
inference(avatar_split_clause,[],[f2811,f2807,f1860,f2813]) ).
fof(f2807,plain,
( spl144_279
<=> op1(e12,e12) = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_279])]) ).
fof(f2811,plain,
( e11 != op1(e12,e12)
| ~ spl144_87
| spl144_279 ),
inference(forward_demodulation,[],[f2809,f1862]) ).
fof(f2809,plain,
( op1(e12,e12) != op1(e13,e12)
| spl144_279 ),
inference(avatar_component_clause,[],[f2807]) ).
fof(f2810,plain,
~ spl144_279,
inference(avatar_split_clause,[],[f437,f2807]) ).
fof(f437,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2804,plain,
~ spl144_278,
inference(avatar_split_clause,[],[f436,f2801]) ).
fof(f436,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2799,plain,
~ spl144_277,
inference(avatar_split_clause,[],[f435,f2796]) ).
fof(f2796,plain,
( spl144_277
<=> op1(e11,e12) = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_277])]) ).
fof(f435,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2794,plain,
( ~ spl144_276
| ~ spl144_87
| spl144_275 ),
inference(avatar_split_clause,[],[f2789,f2785,f1860,f2791]) ).
fof(f2785,plain,
( spl144_275
<=> op1(e10,e12) = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_275])]) ).
fof(f2789,plain,
( e11 != op1(e10,e12)
| ~ spl144_87
| spl144_275 ),
inference(forward_demodulation,[],[f2787,f1862]) ).
fof(f2787,plain,
( op1(e10,e12) != op1(e13,e12)
| spl144_275 ),
inference(avatar_component_clause,[],[f2785]) ).
fof(f2788,plain,
~ spl144_275,
inference(avatar_split_clause,[],[f434,f2785]) ).
fof(f434,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2783,plain,
~ spl144_274,
inference(avatar_split_clause,[],[f433,f2780]) ).
fof(f2780,plain,
( spl144_274
<=> op1(e10,e12) = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_274])]) ).
fof(f433,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2778,plain,
~ spl144_273,
inference(avatar_split_clause,[],[f432,f2775]) ).
fof(f2775,plain,
( spl144_273
<=> op1(e10,e12) = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_273])]) ).
fof(f432,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2773,plain,
( ~ spl144_272
| ~ spl144_88
| spl144_271 ),
inference(avatar_split_clause,[],[f2768,f2764,f1865,f2770]) ).
fof(f2764,plain,
( spl144_271
<=> op1(e12,e11) = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_271])]) ).
fof(f2768,plain,
( e10 != op1(e13,e11)
| ~ spl144_88
| spl144_271 ),
inference(forward_demodulation,[],[f2766,f1867]) ).
fof(f2766,plain,
( op1(e12,e11) != op1(e13,e11)
| spl144_271 ),
inference(avatar_component_clause,[],[f2764]) ).
fof(f2767,plain,
~ spl144_271,
inference(avatar_split_clause,[],[f431,f2764]) ).
fof(f431,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2762,plain,
~ spl144_270,
inference(avatar_split_clause,[],[f430,f2759]) ).
fof(f430,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2757,plain,
( ~ spl144_269
| ~ spl144_88
| spl144_268 ),
inference(avatar_split_clause,[],[f2752,f2748,f1865,f2754]) ).
fof(f2748,plain,
( spl144_268
<=> op1(e11,e11) = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_268])]) ).
fof(f2752,plain,
( e10 != op1(e11,e11)
| ~ spl144_88
| spl144_268 ),
inference(forward_demodulation,[],[f2750,f1867]) ).
fof(f2750,plain,
( op1(e11,e11) != op1(e12,e11)
| spl144_268 ),
inference(avatar_component_clause,[],[f2748]) ).
fof(f2751,plain,
~ spl144_268,
inference(avatar_split_clause,[],[f429,f2748]) ).
fof(f429,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2746,plain,
~ spl144_267,
inference(avatar_split_clause,[],[f428,f2743]) ).
fof(f428,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2740,plain,
~ spl144_266,
inference(avatar_split_clause,[],[f427,f2737]) ).
fof(f427,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2735,plain,
~ spl144_265,
inference(avatar_split_clause,[],[f426,f2732]) ).
fof(f2732,plain,
( spl144_265
<=> op1(e10,e11) = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_265])]) ).
fof(f426,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2730,plain,
~ spl144_264,
inference(avatar_split_clause,[],[f425,f2727]) ).
fof(f2727,plain,
( spl144_264
<=> op1(e12,e10) = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_264])]) ).
fof(f425,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f2725,plain,
~ spl144_263,
inference(avatar_split_clause,[],[f424,f2722]) ).
fof(f424,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f2720,plain,
~ spl144_262,
inference(avatar_split_clause,[],[f423,f2717]) ).
fof(f2717,plain,
( spl144_262
<=> op1(e11,e10) = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_262])]) ).
fof(f423,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f2715,plain,
~ spl144_261,
inference(avatar_split_clause,[],[f422,f2712]) ).
fof(f422,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f2710,plain,
~ spl144_260,
inference(avatar_split_clause,[],[f421,f2707]) ).
fof(f2707,plain,
( spl144_260
<=> op1(e10,e10) = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_260])]) ).
fof(f421,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f2705,plain,
~ spl144_259,
inference(avatar_split_clause,[],[f420,f2702]) ).
fof(f2702,plain,
( spl144_259
<=> op1(e10,e10) = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_259])]) ).
fof(f420,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f2697,plain,
( spl144_258
| ~ spl144_168
| ~ spl144_257 ),
inference(avatar_split_clause,[],[f2692,f2688,f2251,f2694]) ).
fof(f2688,plain,
( spl144_257
<=> e21 = op2(e23,h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_257])]) ).
fof(f2692,plain,
( e21 = op2(e23,e22)
| ~ spl144_168
| ~ spl144_257 ),
inference(forward_demodulation,[],[f2690,f2253]) ).
fof(f2690,plain,
( e21 = op2(e23,h4(e12))
| ~ spl144_257 ),
inference(avatar_component_clause,[],[f2688]) ).
fof(f2691,plain,
spl144_257,
inference(avatar_split_clause,[],[f1222,f2688]) ).
fof(f1222,plain,
e21 = op2(e23,h4(e12)),
inference(forward_demodulation,[],[f517,f419]) ).
fof(f517,plain,
e21 = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[],[f13]) ).
fof(f2686,plain,
~ spl144_256,
inference(avatar_split_clause,[],[f1221,f2683]) ).
fof(f1221,plain,
op2(e21,e20) != h1(e12),
inference(forward_demodulation,[],[f468,f407]) ).
fof(f468,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f2681,plain,
~ spl144_255,
inference(avatar_split_clause,[],[f1220,f2678]) ).
fof(f2678,plain,
( spl144_255
<=> op2(e22,e20) = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_255])]) ).
fof(f1220,plain,
op2(e22,e20) != h1(e12),
inference(forward_demodulation,[],[f469,f407]) ).
fof(f469,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f2676,plain,
~ spl144_254,
inference(avatar_split_clause,[],[f1219,f2673]) ).
fof(f2673,plain,
( spl144_254
<=> op2(e23,e20) = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_254])]) ).
fof(f1219,plain,
op2(e23,e20) != h1(e12),
inference(forward_demodulation,[],[f470,f407]) ).
fof(f470,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f2671,plain,
~ spl144_253,
inference(avatar_split_clause,[],[f1218,f2668]) ).
fof(f1218,plain,
op2(e20,e21) != h2(e12),
inference(forward_demodulation,[],[f474,f415]) ).
fof(f474,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2666,plain,
~ spl144_252,
inference(avatar_split_clause,[],[f1217,f2663]) ).
fof(f1217,plain,
op2(e22,e21) != h2(e12),
inference(forward_demodulation,[],[f477,f415]) ).
fof(f477,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2661,plain,
~ spl144_251,
inference(avatar_split_clause,[],[f1216,f2658]) ).
fof(f2658,plain,
( spl144_251
<=> op2(e23,e21) = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_251])]) ).
fof(f1216,plain,
op2(e23,e21) != h2(e12),
inference(forward_demodulation,[],[f478,f415]) ).
fof(f478,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2656,plain,
~ spl144_250,
inference(avatar_split_clause,[],[f1215,f2653]) ).
fof(f2653,plain,
( spl144_250
<=> op2(e20,e22) = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_250])]) ).
fof(f1215,plain,
op2(e20,e22) != h3(e12),
inference(forward_demodulation,[],[f481,f411]) ).
fof(f481,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2651,plain,
~ spl144_249,
inference(avatar_split_clause,[],[f1214,f2648]) ).
fof(f2648,plain,
( spl144_249
<=> op2(e21,e22) = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_249])]) ).
fof(f1214,plain,
op2(e21,e22) != h3(e12),
inference(forward_demodulation,[],[f483,f411]) ).
fof(f483,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2646,plain,
~ spl144_248,
inference(avatar_split_clause,[],[f1213,f2643]) ).
fof(f1213,plain,
op2(e23,e22) != h3(e12),
inference(forward_demodulation,[],[f485,f411]) ).
fof(f485,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2641,plain,
( ~ spl144_247
| ~ spl144_168
| spl144_246 ),
inference(avatar_split_clause,[],[f2636,f2632,f2251,f2638]) ).
fof(f2632,plain,
( spl144_246
<=> op2(e20,e23) = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_246])]) ).
fof(f2636,plain,
( e22 != op2(e20,e23)
| ~ spl144_168
| spl144_246 ),
inference(forward_demodulation,[],[f2634,f2253]) ).
fof(f2634,plain,
( op2(e20,e23) != h4(e12)
| spl144_246 ),
inference(avatar_component_clause,[],[f2632]) ).
fof(f2635,plain,
~ spl144_246,
inference(avatar_split_clause,[],[f1212,f2632]) ).
fof(f1212,plain,
op2(e20,e23) != h4(e12),
inference(forward_demodulation,[],[f488,f419]) ).
fof(f488,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2630,plain,
( ~ spl144_245
| ~ spl144_168
| spl144_244 ),
inference(avatar_split_clause,[],[f2625,f2621,f2251,f2627]) ).
fof(f2627,plain,
( spl144_245
<=> e22 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_245])]) ).
fof(f2621,plain,
( spl144_244
<=> op2(e21,e23) = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_244])]) ).
fof(f2625,plain,
( e22 != op2(e21,e23)
| ~ spl144_168
| spl144_244 ),
inference(forward_demodulation,[],[f2623,f2253]) ).
fof(f2623,plain,
( op2(e21,e23) != h4(e12)
| spl144_244 ),
inference(avatar_component_clause,[],[f2621]) ).
fof(f2624,plain,
~ spl144_244,
inference(avatar_split_clause,[],[f1211,f2621]) ).
fof(f1211,plain,
op2(e21,e23) != h4(e12),
inference(forward_demodulation,[],[f490,f419]) ).
fof(f490,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2619,plain,
( ~ spl144_243
| ~ spl144_168
| spl144_242 ),
inference(avatar_split_clause,[],[f2614,f2610,f2251,f2616]) ).
fof(f2610,plain,
( spl144_242
<=> op2(e22,e23) = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_242])]) ).
fof(f2614,plain,
( e22 != op2(e22,e23)
| ~ spl144_168
| spl144_242 ),
inference(forward_demodulation,[],[f2612,f2253]) ).
fof(f2612,plain,
( op2(e22,e23) != h4(e12)
| spl144_242 ),
inference(avatar_component_clause,[],[f2610]) ).
fof(f2613,plain,
~ spl144_242,
inference(avatar_split_clause,[],[f1210,f2610]) ).
fof(f1210,plain,
op2(e22,e23) != h4(e12),
inference(forward_demodulation,[],[f491,f419]) ).
fof(f491,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2608,plain,
~ spl144_241,
inference(avatar_split_clause,[],[f1209,f2605]) ).
fof(f2605,plain,
( spl144_241
<=> op2(e20,e21) = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_241])]) ).
fof(f1209,plain,
op2(e20,e21) != h1(e12),
inference(forward_demodulation,[],[f492,f407]) ).
fof(f492,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2603,plain,
~ spl144_240,
inference(avatar_split_clause,[],[f1208,f2600]) ).
fof(f2600,plain,
( spl144_240
<=> op2(e20,e22) = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_240])]) ).
fof(f1208,plain,
op2(e20,e22) != h1(e12),
inference(forward_demodulation,[],[f493,f407]) ).
fof(f493,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2598,plain,
~ spl144_239,
inference(avatar_split_clause,[],[f1207,f2595]) ).
fof(f2595,plain,
( spl144_239
<=> op2(e20,e23) = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_239])]) ).
fof(f1207,plain,
op2(e20,e23) != h1(e12),
inference(forward_demodulation,[],[f494,f407]) ).
fof(f494,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2593,plain,
~ spl144_238,
inference(avatar_split_clause,[],[f1206,f2590]) ).
fof(f1206,plain,
op2(e21,e20) != h2(e12),
inference(forward_demodulation,[],[f498,f415]) ).
fof(f498,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2588,plain,
~ spl144_237,
inference(avatar_split_clause,[],[f1205,f2585]) ).
fof(f2585,plain,
( spl144_237
<=> op2(e21,e22) = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_237])]) ).
fof(f1205,plain,
op2(e21,e22) != h2(e12),
inference(forward_demodulation,[],[f501,f415]) ).
fof(f501,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2583,plain,
~ spl144_236,
inference(avatar_split_clause,[],[f1204,f2580]) ).
fof(f2580,plain,
( spl144_236
<=> op2(e21,e23) = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_236])]) ).
fof(f1204,plain,
op2(e21,e23) != h2(e12),
inference(forward_demodulation,[],[f502,f415]) ).
fof(f502,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2578,plain,
~ spl144_235,
inference(avatar_split_clause,[],[f1203,f2575]) ).
fof(f1203,plain,
op2(e22,e20) != h3(e12),
inference(forward_demodulation,[],[f505,f411]) ).
fof(f505,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2573,plain,
~ spl144_234,
inference(avatar_split_clause,[],[f1202,f2570]) ).
fof(f1202,plain,
op2(e22,e21) != h3(e12),
inference(forward_demodulation,[],[f507,f411]) ).
fof(f507,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2568,plain,
~ spl144_233,
inference(avatar_split_clause,[],[f1201,f2565]) ).
fof(f2565,plain,
( spl144_233
<=> op2(e22,e23) = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_233])]) ).
fof(f1201,plain,
op2(e22,e23) != h3(e12),
inference(forward_demodulation,[],[f509,f411]) ).
fof(f509,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2563,plain,
( ~ spl144_232
| ~ spl144_168
| spl144_231 ),
inference(avatar_split_clause,[],[f2558,f2554,f2251,f2560]) ).
fof(f2554,plain,
( spl144_231
<=> op2(e23,e20) = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_231])]) ).
fof(f2558,plain,
( e22 != op2(e23,e20)
| ~ spl144_168
| spl144_231 ),
inference(forward_demodulation,[],[f2556,f2253]) ).
fof(f2556,plain,
( op2(e23,e20) != h4(e12)
| spl144_231 ),
inference(avatar_component_clause,[],[f2554]) ).
fof(f2557,plain,
~ spl144_231,
inference(avatar_split_clause,[],[f1200,f2554]) ).
fof(f1200,plain,
op2(e23,e20) != h4(e12),
inference(forward_demodulation,[],[f512,f419]) ).
fof(f512,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2552,plain,
( ~ spl144_230
| ~ spl144_168
| spl144_229 ),
inference(avatar_split_clause,[],[f2547,f2543,f2251,f2549]) ).
fof(f2543,plain,
( spl144_229
<=> op2(e23,e21) = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_229])]) ).
fof(f2547,plain,
( e22 != op2(e23,e21)
| ~ spl144_168
| spl144_229 ),
inference(forward_demodulation,[],[f2545,f2253]) ).
fof(f2545,plain,
( op2(e23,e21) != h4(e12)
| spl144_229 ),
inference(avatar_component_clause,[],[f2543]) ).
fof(f2546,plain,
~ spl144_229,
inference(avatar_split_clause,[],[f1199,f2543]) ).
fof(f1199,plain,
op2(e23,e21) != h4(e12),
inference(forward_demodulation,[],[f514,f419]) ).
fof(f514,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2541,plain,
( ~ spl144_228
| ~ spl144_168
| spl144_227 ),
inference(avatar_split_clause,[],[f2536,f2532,f2251,f2538]) ).
fof(f2532,plain,
( spl144_227
<=> op2(e23,e22) = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_227])]) ).
fof(f2536,plain,
( e22 != op2(e23,e22)
| ~ spl144_168
| spl144_227 ),
inference(forward_demodulation,[],[f2534,f2253]) ).
fof(f2534,plain,
( op2(e23,e22) != h4(e12)
| spl144_227 ),
inference(avatar_component_clause,[],[f2532]) ).
fof(f2535,plain,
~ spl144_227,
inference(avatar_split_clause,[],[f1198,f2532]) ).
fof(f1198,plain,
op2(e23,e22) != h4(e12),
inference(forward_demodulation,[],[f515,f419]) ).
fof(f515,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2530,plain,
( ~ spl144_225
| ~ spl144_226 ),
inference(avatar_split_clause,[],[f1147,f2527,f2523]) ).
fof(f1147,plain,
( e11 != op1(e11,e12)
| ~ sP80 ),
inference(cnf_transformation,[],[f309]) ).
fof(f2521,plain,
( ~ spl144_224
| spl144_222 ),
inference(avatar_split_clause,[],[f1144,f2508,f2518]) ).
fof(f1144,plain,
( e10 = op1(e10,e10)
| ~ sP81 ),
inference(cnf_transformation,[],[f308]) ).
fof(f308,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP81 ),
inference(nnf_transformation,[],[f104]) ).
fof(f2516,plain,
( ~ spl144_223
| spl144_222 ),
inference(avatar_split_clause,[],[f1139,f2508,f2513]) ).
fof(f1139,plain,
( e10 = op1(e10,e10)
| ~ sP82 ),
inference(cnf_transformation,[],[f307]) ).
fof(f307,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP82 ),
inference(nnf_transformation,[],[f105]) ).
fof(f2511,plain,
( ~ spl144_221
| spl144_222 ),
inference(avatar_split_clause,[],[f1135,f2508,f2504]) ).
fof(f1135,plain,
( e10 = op1(e10,e10)
| ~ sP83 ),
inference(cnf_transformation,[],[f306]) ).
fof(f306,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP83 ),
inference(nnf_transformation,[],[f106]) ).
fof(f2502,plain,
( ~ spl144_220
| spl144_218 ),
inference(avatar_split_clause,[],[f1126,f2489,f2499]) ).
fof(f1126,plain,
( e10 = op1(e10,e11)
| ~ sP85 ),
inference(cnf_transformation,[],[f304]) ).
fof(f304,plain,
( ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ~ sP85 ),
inference(nnf_transformation,[],[f108]) ).
fof(f2497,plain,
( ~ spl144_219
| spl144_218 ),
inference(avatar_split_clause,[],[f1122,f2489,f2494]) ).
fof(f1122,plain,
( e10 = op1(e10,e11)
| ~ sP86 ),
inference(cnf_transformation,[],[f303]) ).
fof(f303,plain,
( ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ~ sP86 ),
inference(nnf_transformation,[],[f109]) ).
fof(f2492,plain,
( ~ spl144_217
| spl144_218 ),
inference(avatar_split_clause,[],[f1118,f2489,f2485]) ).
fof(f1118,plain,
( e10 = op1(e10,e11)
| ~ sP87 ),
inference(cnf_transformation,[],[f302]) ).
fof(f302,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ~ sP87 ),
inference(nnf_transformation,[],[f110]) ).
fof(f2483,plain,
( ~ spl144_216
| spl144_213 ),
inference(avatar_split_clause,[],[f1110,f2465,f2480]) ).
fof(f1110,plain,
( e10 = op1(e10,e12)
| ~ sP89 ),
inference(cnf_transformation,[],[f300]) ).
fof(f300,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ~ sP89 ),
inference(nnf_transformation,[],[f112]) ).
fof(f2478,plain,
( ~ spl144_215
| spl144_213 ),
inference(avatar_split_clause,[],[f1106,f2465,f2475]) ).
fof(f1106,plain,
( e10 = op1(e10,e12)
| ~ sP90 ),
inference(cnf_transformation,[],[f299]) ).
fof(f2473,plain,
( ~ spl144_214
| spl144_213 ),
inference(avatar_split_clause,[],[f1102,f2465,f2470]) ).
fof(f1102,plain,
( e10 = op1(e10,e12)
| ~ sP91 ),
inference(cnf_transformation,[],[f298]) ).
fof(f298,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ~ sP91 ),
inference(nnf_transformation,[],[f114]) ).
fof(f2468,plain,
( ~ spl144_212
| spl144_213 ),
inference(avatar_split_clause,[],[f1098,f2465,f2461]) ).
fof(f1098,plain,
( e10 = op1(e10,e12)
| ~ sP92 ),
inference(cnf_transformation,[],[f297]) ).
fof(f297,plain,
( ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ~ sP92 ),
inference(nnf_transformation,[],[f115]) ).
fof(f2459,plain,
( ~ spl144_211
| spl144_209 ),
inference(avatar_split_clause,[],[f1094,f2446,f2456]) ).
fof(f1094,plain,
( e10 = op1(e10,e13)
| ~ sP93 ),
inference(cnf_transformation,[],[f296]) ).
fof(f296,plain,
( ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ~ sP93 ),
inference(nnf_transformation,[],[f116]) ).
fof(f2454,plain,
( ~ spl144_210
| spl144_209 ),
inference(avatar_split_clause,[],[f1090,f2446,f2451]) ).
fof(f1090,plain,
( e10 = op1(e10,e13)
| ~ sP94 ),
inference(cnf_transformation,[],[f295]) ).
fof(f295,plain,
( ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ~ sP94 ),
inference(nnf_transformation,[],[f117]) ).
fof(f2449,plain,
( ~ spl144_208
| spl144_209 ),
inference(avatar_split_clause,[],[f1086,f2446,f2442]) ).
fof(f1086,plain,
( e10 = op1(e10,e13)
| ~ sP95 ),
inference(cnf_transformation,[],[f294]) ).
fof(f294,plain,
( ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ~ sP95 ),
inference(nnf_transformation,[],[f118]) ).
fof(f2440,plain,
( ~ spl144_207
| spl144_205 ),
inference(avatar_split_clause,[],[f1078,f2427,f2437]) ).
fof(f1078,plain,
( e11 = op1(e11,e10)
| ~ sP97 ),
inference(cnf_transformation,[],[f292]) ).
fof(f292,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ~ sP97 ),
inference(nnf_transformation,[],[f120]) ).
fof(f2435,plain,
( ~ spl144_206
| spl144_205 ),
inference(avatar_split_clause,[],[f1074,f2427,f2432]) ).
fof(f1074,plain,
( e11 = op1(e11,e10)
| ~ sP98 ),
inference(cnf_transformation,[],[f291]) ).
fof(f291,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ~ sP98 ),
inference(nnf_transformation,[],[f121]) ).
fof(f2430,plain,
( ~ spl144_204
| spl144_205 ),
inference(avatar_split_clause,[],[f1070,f2427,f2423]) ).
fof(f1070,plain,
( e11 = op1(e11,e10)
| ~ sP99 ),
inference(cnf_transformation,[],[f290]) ).
fof(f290,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ~ sP99 ),
inference(nnf_transformation,[],[f122]) ).
fof(f2421,plain,
( ~ spl144_203
| spl144_201 ),
inference(avatar_split_clause,[],[f1063,f2408,f2418]) ).
fof(f1063,plain,
( e11 = op1(e11,e11)
| ~ sP101 ),
inference(cnf_transformation,[],[f288]) ).
fof(f288,plain,
( ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP101 ),
inference(nnf_transformation,[],[f124]) ).
fof(f2416,plain,
( ~ spl144_202
| spl144_201 ),
inference(avatar_split_clause,[],[f1060,f2408,f2413]) ).
fof(f1060,plain,
( e11 = op1(e11,e11)
| ~ sP102 ),
inference(cnf_transformation,[],[f287]) ).
fof(f287,plain,
( ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP102 ),
inference(nnf_transformation,[],[f125]) ).
fof(f2411,plain,
( ~ spl144_200
| spl144_201 ),
inference(avatar_split_clause,[],[f1055,f2408,f2404]) ).
fof(f1055,plain,
( e11 = op1(e11,e11)
| ~ sP103 ),
inference(cnf_transformation,[],[f286]) ).
fof(f286,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP103 ),
inference(nnf_transformation,[],[f126]) ).
fof(f2402,plain,
( ~ spl144_199
| spl144_197 ),
inference(avatar_split_clause,[],[f1030,f2389,f2399]) ).
fof(f1030,plain,
( e11 = op1(e11,e13)
| ~ sP109 ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
( ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ~ sP109 ),
inference(nnf_transformation,[],[f132]) ).
fof(f2397,plain,
( ~ spl144_198
| spl144_197 ),
inference(avatar_split_clause,[],[f1026,f2389,f2394]) ).
fof(f1026,plain,
( e11 = op1(e11,e13)
| ~ sP110 ),
inference(cnf_transformation,[],[f279]) ).
fof(f279,plain,
( ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ~ sP110 ),
inference(nnf_transformation,[],[f133]) ).
fof(f2392,plain,
( ~ spl144_196
| spl144_197 ),
inference(avatar_split_clause,[],[f1022,f2389,f2385]) ).
fof(f1022,plain,
( e11 = op1(e11,e13)
| ~ sP111 ),
inference(cnf_transformation,[],[f278]) ).
fof(f278,plain,
( ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ~ sP111 ),
inference(nnf_transformation,[],[f134]) ).
fof(f2383,plain,
( ~ spl144_195
| spl144_193 ),
inference(avatar_split_clause,[],[f1014,f2370,f2380]) ).
fof(f1014,plain,
( e12 = op1(e12,e10)
| ~ sP113 ),
inference(cnf_transformation,[],[f276]) ).
fof(f276,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ~ sP113 ),
inference(nnf_transformation,[],[f136]) ).
fof(f2378,plain,
( ~ spl144_194
| spl144_193 ),
inference(avatar_split_clause,[],[f1010,f2370,f2375]) ).
fof(f1010,plain,
( e12 = op1(e12,e10)
| ~ sP114 ),
inference(cnf_transformation,[],[f275]) ).
fof(f275,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ~ sP114 ),
inference(nnf_transformation,[],[f137]) ).
fof(f2373,plain,
( ~ spl144_192
| spl144_193 ),
inference(avatar_split_clause,[],[f1006,f2370,f2366]) ).
fof(f1006,plain,
( e12 = op1(e12,e10)
| ~ sP115 ),
inference(cnf_transformation,[],[f274]) ).
fof(f274,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ~ sP115 ),
inference(nnf_transformation,[],[f138]) ).
fof(f2364,plain,
( ~ spl144_191
| spl144_188 ),
inference(avatar_split_clause,[],[f983,f2346,f2361]) ).
fof(f983,plain,
( e12 = op1(e12,e12)
| ~ sP121 ),
inference(cnf_transformation,[],[f268]) ).
fof(f268,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP121 ),
inference(nnf_transformation,[],[f144]) ).
fof(f2359,plain,
( ~ spl144_190
| spl144_188 ),
inference(avatar_split_clause,[],[f979,f2346,f2356]) ).
fof(f979,plain,
( e12 = op1(e12,e12)
| ~ sP122 ),
inference(cnf_transformation,[],[f267]) ).
fof(f267,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP122 ),
inference(nnf_transformation,[],[f145]) ).
fof(f2354,plain,
( ~ spl144_189
| spl144_188 ),
inference(avatar_split_clause,[],[f976,f2346,f2351]) ).
fof(f976,plain,
( e12 = op1(e12,e12)
| ~ sP123 ),
inference(cnf_transformation,[],[f266]) ).
fof(f2349,plain,
( ~ spl144_187
| spl144_188 ),
inference(avatar_split_clause,[],[f971,f2346,f2342]) ).
fof(f971,plain,
( e12 = op1(e12,e12)
| ~ sP124 ),
inference(cnf_transformation,[],[f265]) ).
fof(f265,plain,
( ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP124 ),
inference(nnf_transformation,[],[f147]) ).
fof(f2340,plain,
( ~ spl144_186
| spl144_184 ),
inference(avatar_split_clause,[],[f950,f2327,f2337]) ).
fof(f950,plain,
( e13 = op1(e13,e10)
| ~ sP129 ),
inference(cnf_transformation,[],[f260]) ).
fof(f260,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ~ sP129 ),
inference(nnf_transformation,[],[f152]) ).
fof(f2335,plain,
( ~ spl144_185
| spl144_184 ),
inference(avatar_split_clause,[],[f946,f2327,f2332]) ).
fof(f946,plain,
( e13 = op1(e13,e10)
| ~ sP130 ),
inference(cnf_transformation,[],[f259]) ).
fof(f259,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ~ sP130 ),
inference(nnf_transformation,[],[f153]) ).
fof(f2330,plain,
( ~ spl144_183
| spl144_184 ),
inference(avatar_split_clause,[],[f942,f2327,f2323]) ).
fof(f942,plain,
( e13 = op1(e13,e10)
| ~ sP131 ),
inference(cnf_transformation,[],[f258]) ).
fof(f258,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ~ sP131 ),
inference(nnf_transformation,[],[f154]) ).
fof(f2321,plain,
( ~ spl144_182
| spl144_180 ),
inference(avatar_split_clause,[],[f934,f2308,f2318]) ).
fof(f934,plain,
( e13 = op1(e13,e11)
| ~ sP133 ),
inference(cnf_transformation,[],[f256]) ).
fof(f2316,plain,
( ~ spl144_181
| spl144_180 ),
inference(avatar_split_clause,[],[f930,f2308,f2313]) ).
fof(f930,plain,
( e13 = op1(e13,e11)
| ~ sP134 ),
inference(cnf_transformation,[],[f255]) ).
fof(f2311,plain,
( ~ spl144_179
| spl144_180 ),
inference(avatar_split_clause,[],[f926,f2308,f2304]) ).
fof(f926,plain,
( e13 = op1(e13,e11)
| ~ sP135 ),
inference(cnf_transformation,[],[f254]) ).
fof(f2302,plain,
( ~ spl144_177
| ~ spl144_178 ),
inference(avatar_split_clause,[],[f879,f2299,f2295]) ).
fof(f879,plain,
( e21 != op2(e21,e20)
| ~ sP12 ),
inference(cnf_transformation,[],[f245]) ).
fof(f2293,plain,
( ~ spl144_175
| ~ spl144_176 ),
inference(avatar_split_clause,[],[f874,f2290,f2286]) ).
fof(f874,plain,
( e20 != op2(e20,e21)
| ~ sP13 ),
inference(cnf_transformation,[],[f244]) ).
fof(f2284,plain,
( ~ spl144_173
| spl144_174 ),
inference(avatar_split_clause,[],[f822,f2281,f2277]) ).
fof(f822,plain,
( e20 = op2(e20,e22)
| ~ sP26 ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
( ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ~ sP26 ),
inference(nnf_transformation,[],[f48]) ).
fof(f2275,plain,
( ~ spl144_171
| spl144_172 ),
inference(avatar_split_clause,[],[f758,f2272,f2268]) ).
fof(f758,plain,
( e21 = op2(e21,e22)
| ~ sP42 ),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
( ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ~ sP42 ),
inference(nnf_transformation,[],[f64]) ).
fof(f2266,plain,
( ~ spl144_169
| spl144_170 ),
inference(avatar_split_clause,[],[f630,f2263,f2259]) ).
fof(f630,plain,
( e23 = op2(e23,e22)
| ~ sP74 ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
( ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ~ sP74 ),
inference(nnf_transformation,[],[f96]) ).
fof(f2254,plain,
( spl144_168
| ~ spl144_85
| ~ spl144_167 ),
inference(avatar_split_clause,[],[f2249,f2245,f1850,f2251]) ).
fof(f2245,plain,
( spl144_167
<=> op2(e23,e23) = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_167])]) ).
fof(f2249,plain,
( e22 = h4(e12)
| ~ spl144_85
| ~ spl144_167 ),
inference(forward_demodulation,[],[f2247,f1852]) ).
fof(f2247,plain,
( op2(e23,e23) = h4(e12)
| ~ spl144_167 ),
inference(avatar_component_clause,[],[f2245]) ).
fof(f2248,plain,
spl144_167,
inference(avatar_split_clause,[],[f419,f2245]) ).
fof(f2243,plain,
spl144_166,
inference(avatar_split_clause,[],[f415,f2240]) ).
fof(f2238,plain,
spl144_165,
inference(avatar_split_clause,[],[f411,f2235]) ).
fof(f2233,plain,
spl144_164,
inference(avatar_split_clause,[],[f407,f2230]) ).
fof(f2228,plain,
( ~ spl144_163
| spl144_116 ),
inference(avatar_split_clause,[],[f1367,f1991,f2225]) ).
fof(f1367,plain,
( e20 = h1(e12)
| ~ sP15 ),
inference(forward_demodulation,[],[f868,f407]) ).
fof(f868,plain,
( e20 = op2(e20,e20)
| ~ sP15 ),
inference(cnf_transformation,[],[f242]) ).
fof(f242,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP15 ),
inference(nnf_transformation,[],[f37]) ).
fof(f2223,plain,
( ~ spl144_162
| spl144_114 ),
inference(avatar_split_clause,[],[f1363,f1982,f2220]) ).
fof(f1363,plain,
( e20 = h2(e12)
| ~ sP16 ),
inference(forward_demodulation,[],[f864,f415]) ).
fof(f864,plain,
( e20 = op2(e21,e21)
| ~ sP16 ),
inference(cnf_transformation,[],[f241]) ).
fof(f241,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP16 ),
inference(nnf_transformation,[],[f38]) ).
fof(f2218,plain,
( ~ spl144_161
| spl144_112 ),
inference(avatar_split_clause,[],[f1360,f1973,f2215]) ).
fof(f1360,plain,
( e20 = h3(e12)
| ~ sP17 ),
inference(forward_demodulation,[],[f860,f411]) ).
fof(f860,plain,
( e20 = op2(e22,e22)
| ~ sP17 ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP17 ),
inference(nnf_transformation,[],[f39]) ).
fof(f2213,plain,
( ~ spl144_160
| spl144_110 ),
inference(avatar_split_clause,[],[f1357,f1964,f2210]) ).
fof(f1964,plain,
( spl144_110
<=> e20 = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_110])]) ).
fof(f1357,plain,
( e20 = h4(e12)
| ~ sP18 ),
inference(forward_demodulation,[],[f856,f419]) ).
fof(f856,plain,
( e20 = op2(e23,e23)
| ~ sP18 ),
inference(cnf_transformation,[],[f239]) ).
fof(f239,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP18 ),
inference(nnf_transformation,[],[f40]) ).
fof(f2208,plain,
( ~ spl144_159
| spl144_108 ),
inference(avatar_split_clause,[],[f1356,f1955,f2205]) ).
fof(f1356,plain,
( e21 = h1(e12)
| ~ sP19 ),
inference(forward_demodulation,[],[f852,f407]) ).
fof(f852,plain,
( op2(e20,e20) = e21
| ~ sP19 ),
inference(cnf_transformation,[],[f238]) ).
fof(f238,plain,
( ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ~ sP19 ),
inference(nnf_transformation,[],[f41]) ).
fof(f2203,plain,
( ~ spl144_158
| spl144_106 ),
inference(avatar_split_clause,[],[f1355,f1946,f2200]) ).
fof(f1355,plain,
( e21 = h2(e12)
| ~ sP20 ),
inference(forward_demodulation,[],[f848,f415]) ).
fof(f848,plain,
( e21 = op2(e21,e21)
| ~ sP20 ),
inference(cnf_transformation,[],[f237]) ).
fof(f2198,plain,
( ~ spl144_157
| spl144_104 ),
inference(avatar_split_clause,[],[f1353,f1937,f2195]) ).
fof(f1353,plain,
( e21 = h3(e12)
| ~ sP21 ),
inference(forward_demodulation,[],[f844,f411]) ).
fof(f844,plain,
( e21 = op2(e22,e22)
| ~ sP21 ),
inference(cnf_transformation,[],[f236]) ).
fof(f236,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ~ sP21 ),
inference(nnf_transformation,[],[f43]) ).
fof(f2193,plain,
( ~ spl144_156
| spl144_102 ),
inference(avatar_split_clause,[],[f1352,f1928,f2190]) ).
fof(f1352,plain,
( e21 = h4(e12)
| ~ sP22 ),
inference(forward_demodulation,[],[f840,f419]) ).
fof(f840,plain,
( e21 = op2(e23,e23)
| ~ sP22 ),
inference(cnf_transformation,[],[f235]) ).
fof(f235,plain,
( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ~ sP22 ),
inference(nnf_transformation,[],[f44]) ).
fof(f2188,plain,
( ~ spl144_155
| spl144_100 ),
inference(avatar_split_clause,[],[f1351,f1919,f2185]) ).
fof(f1351,plain,
( e22 = h1(e12)
| ~ sP23 ),
inference(forward_demodulation,[],[f836,f407]) ).
fof(f836,plain,
( op2(e20,e20) = e22
| ~ sP23 ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ~ sP23 ),
inference(nnf_transformation,[],[f45]) ).
fof(f2183,plain,
( ~ spl144_154
| spl144_98 ),
inference(avatar_split_clause,[],[f1350,f1910,f2180]) ).
fof(f1350,plain,
( e22 = h2(e12)
| ~ sP24 ),
inference(forward_demodulation,[],[f832,f415]) ).
fof(f832,plain,
( e22 = op2(e21,e21)
| ~ sP24 ),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ~ sP24 ),
inference(nnf_transformation,[],[f46]) ).
fof(f2178,plain,
( ~ spl144_153
| spl144_96 ),
inference(avatar_split_clause,[],[f1349,f1901,f2175]) ).
fof(f1349,plain,
( e22 = h3(e12)
| ~ sP25 ),
inference(forward_demodulation,[],[f828,f411]) ).
fof(f828,plain,
( e22 = op2(e22,e22)
| ~ sP25 ),
inference(cnf_transformation,[],[f232]) ).
fof(f2173,plain,
( ~ spl144_152
| spl144_94 ),
inference(avatar_split_clause,[],[f1347,f1892,f2170]) ).
fof(f1347,plain,
( e23 = h1(e12)
| ~ sP27 ),
inference(forward_demodulation,[],[f820,f407]) ).
fof(f820,plain,
( op2(e20,e20) = e23
| ~ sP27 ),
inference(cnf_transformation,[],[f230]) ).
fof(f230,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ~ sP27 ),
inference(nnf_transformation,[],[f49]) ).
fof(f2168,plain,
( ~ spl144_151
| spl144_92 ),
inference(avatar_split_clause,[],[f1346,f1883,f2165]) ).
fof(f1346,plain,
( e23 = h2(e12)
| ~ sP28 ),
inference(forward_demodulation,[],[f816,f415]) ).
fof(f816,plain,
( e23 = op2(e21,e21)
| ~ sP28 ),
inference(cnf_transformation,[],[f229]) ).
fof(f229,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ~ sP28 ),
inference(nnf_transformation,[],[f50]) ).
fof(f2163,plain,
( ~ spl144_150
| spl144_90 ),
inference(avatar_split_clause,[],[f1345,f1874,f2160]) ).
fof(f1345,plain,
( e23 = h3(e12)
| ~ sP29 ),
inference(forward_demodulation,[],[f812,f411]) ).
fof(f812,plain,
( e23 = op2(e22,e22)
| ~ sP29 ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
( ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ~ sP29 ),
inference(nnf_transformation,[],[f51]) ).
fof(f2158,plain,
( ~ spl144_149
| spl144_118 ),
inference(avatar_split_clause,[],[f1344,f2000,f2155]) ).
fof(f1344,plain,
( e23 = h4(e12)
| ~ sP30 ),
inference(forward_demodulation,[],[f808,f419]) ).
fof(f808,plain,
( e23 = op2(e23,e23)
| ~ sP30 ),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ~ sP30 ),
inference(nnf_transformation,[],[f52]) ).
fof(f2153,plain,
( ~ spl144_148
| spl144_116 ),
inference(avatar_split_clause,[],[f1342,f1991,f2150]) ).
fof(f1342,plain,
( e20 = h1(e12)
| ~ sP31 ),
inference(forward_demodulation,[],[f804,f407]) ).
fof(f804,plain,
( e20 = op2(e20,e20)
| ~ sP31 ),
inference(cnf_transformation,[],[f226]) ).
fof(f226,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ~ sP31 ),
inference(nnf_transformation,[],[f53]) ).
fof(f2148,plain,
( ~ spl144_147
| spl144_114 ),
inference(avatar_split_clause,[],[f1340,f1982,f2145]) ).
fof(f1340,plain,
( e20 = h2(e12)
| ~ sP32 ),
inference(forward_demodulation,[],[f800,f415]) ).
fof(f800,plain,
( e20 = op2(e21,e21)
| ~ sP32 ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ~ sP32 ),
inference(nnf_transformation,[],[f54]) ).
fof(f2143,plain,
( ~ spl144_146
| spl144_112 ),
inference(avatar_split_clause,[],[f1339,f1973,f2140]) ).
fof(f1339,plain,
( e20 = h3(e12)
| ~ sP33 ),
inference(forward_demodulation,[],[f796,f411]) ).
fof(f796,plain,
( e20 = op2(e22,e22)
| ~ sP33 ),
inference(cnf_transformation,[],[f224]) ).
fof(f224,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ~ sP33 ),
inference(nnf_transformation,[],[f55]) ).
fof(f2138,plain,
( ~ spl144_145
| spl144_110 ),
inference(avatar_split_clause,[],[f1338,f1964,f2135]) ).
fof(f1338,plain,
( e20 = h4(e12)
| ~ sP34 ),
inference(forward_demodulation,[],[f792,f419]) ).
fof(f792,plain,
( e20 = op2(e23,e23)
| ~ sP34 ),
inference(cnf_transformation,[],[f223]) ).
fof(f223,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ~ sP34 ),
inference(nnf_transformation,[],[f56]) ).
fof(f2133,plain,
( ~ spl144_144
| spl144_108 ),
inference(avatar_split_clause,[],[f1335,f1955,f2130]) ).
fof(f1335,plain,
( e21 = h1(e12)
| ~ sP35 ),
inference(forward_demodulation,[],[f788,f407]) ).
fof(f788,plain,
( op2(e20,e20) = e21
| ~ sP35 ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
( ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP35 ),
inference(nnf_transformation,[],[f57]) ).
fof(f2128,plain,
( ~ spl144_143
| spl144_106 ),
inference(avatar_split_clause,[],[f1332,f1946,f2125]) ).
fof(f1332,plain,
( e21 = h2(e12)
| ~ sP36 ),
inference(forward_demodulation,[],[f784,f415]) ).
fof(f784,plain,
( e21 = op2(e21,e21)
| ~ sP36 ),
inference(cnf_transformation,[],[f221]) ).
fof(f2123,plain,
( ~ spl144_142
| spl144_104 ),
inference(avatar_split_clause,[],[f1328,f1937,f2120]) ).
fof(f1328,plain,
( e21 = h3(e12)
| ~ sP37 ),
inference(forward_demodulation,[],[f780,f411]) ).
fof(f780,plain,
( e21 = op2(e22,e22)
| ~ sP37 ),
inference(cnf_transformation,[],[f220]) ).
fof(f220,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP37 ),
inference(nnf_transformation,[],[f59]) ).
fof(f2118,plain,
( ~ spl144_141
| spl144_102 ),
inference(avatar_split_clause,[],[f1325,f1928,f2115]) ).
fof(f1325,plain,
( e21 = h4(e12)
| ~ sP38 ),
inference(forward_demodulation,[],[f776,f419]) ).
fof(f776,plain,
( e21 = op2(e23,e23)
| ~ sP38 ),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP38 ),
inference(nnf_transformation,[],[f60]) ).
fof(f2113,plain,
( ~ spl144_140
| spl144_100 ),
inference(avatar_split_clause,[],[f1324,f1919,f2110]) ).
fof(f1324,plain,
( e22 = h1(e12)
| ~ sP39 ),
inference(forward_demodulation,[],[f772,f407]) ).
fof(f772,plain,
( op2(e20,e20) = e22
| ~ sP39 ),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ~ sP39 ),
inference(nnf_transformation,[],[f61]) ).
fof(f2108,plain,
( ~ spl144_139
| spl144_98 ),
inference(avatar_split_clause,[],[f1323,f1910,f2105]) ).
fof(f1323,plain,
( e22 = h2(e12)
| ~ sP40 ),
inference(forward_demodulation,[],[f768,f415]) ).
fof(f768,plain,
( e22 = op2(e21,e21)
| ~ sP40 ),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ~ sP40 ),
inference(nnf_transformation,[],[f62]) ).
fof(f2103,plain,
( ~ spl144_138
| spl144_96 ),
inference(avatar_split_clause,[],[f1322,f1901,f2100]) ).
fof(f1322,plain,
( e22 = h3(e12)
| ~ sP41 ),
inference(forward_demodulation,[],[f764,f411]) ).
fof(f764,plain,
( e22 = op2(e22,e22)
| ~ sP41 ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ~ sP41 ),
inference(nnf_transformation,[],[f63]) ).
fof(f2098,plain,
( ~ spl144_137
| spl144_94 ),
inference(avatar_split_clause,[],[f1320,f1892,f2095]) ).
fof(f1320,plain,
( e23 = h1(e12)
| ~ sP43 ),
inference(forward_demodulation,[],[f756,f407]) ).
fof(f756,plain,
( op2(e20,e20) = e23
| ~ sP43 ),
inference(cnf_transformation,[],[f214]) ).
fof(f214,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ~ sP43 ),
inference(nnf_transformation,[],[f65]) ).
fof(f2093,plain,
( ~ spl144_136
| spl144_92 ),
inference(avatar_split_clause,[],[f1319,f1883,f2090]) ).
fof(f1319,plain,
( e23 = h2(e12)
| ~ sP44 ),
inference(forward_demodulation,[],[f752,f415]) ).
fof(f752,plain,
( e23 = op2(e21,e21)
| ~ sP44 ),
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ~ sP44 ),
inference(nnf_transformation,[],[f66]) ).
fof(f2088,plain,
( ~ spl144_135
| spl144_90 ),
inference(avatar_split_clause,[],[f1318,f1874,f2085]) ).
fof(f1318,plain,
( e23 = h3(e12)
| ~ sP45 ),
inference(forward_demodulation,[],[f748,f411]) ).
fof(f748,plain,
( e23 = op2(e22,e22)
| ~ sP45 ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
( ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ~ sP45 ),
inference(nnf_transformation,[],[f67]) ).
fof(f2083,plain,
( ~ spl144_134
| spl144_118 ),
inference(avatar_split_clause,[],[f1317,f2000,f2080]) ).
fof(f1317,plain,
( e23 = h4(e12)
| ~ sP46 ),
inference(forward_demodulation,[],[f744,f419]) ).
fof(f744,plain,
( e23 = op2(e23,e23)
| ~ sP46 ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ~ sP46 ),
inference(nnf_transformation,[],[f68]) ).
fof(f2078,plain,
( ~ spl144_133
| spl144_116 ),
inference(avatar_split_clause,[],[f1315,f1991,f2075]) ).
fof(f1315,plain,
( e20 = h1(e12)
| ~ sP47 ),
inference(forward_demodulation,[],[f740,f407]) ).
fof(f740,plain,
( e20 = op2(e20,e20)
| ~ sP47 ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ~ sP47 ),
inference(nnf_transformation,[],[f69]) ).
fof(f2073,plain,
( ~ spl144_132
| spl144_114 ),
inference(avatar_split_clause,[],[f1313,f1982,f2070]) ).
fof(f1313,plain,
( e20 = h2(e12)
| ~ sP48 ),
inference(forward_demodulation,[],[f736,f415]) ).
fof(f736,plain,
( e20 = op2(e21,e21)
| ~ sP48 ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ~ sP48 ),
inference(nnf_transformation,[],[f70]) ).
fof(f2068,plain,
( ~ spl144_131
| spl144_112 ),
inference(avatar_split_clause,[],[f1312,f1973,f2065]) ).
fof(f1312,plain,
( e20 = h3(e12)
| ~ sP49 ),
inference(forward_demodulation,[],[f732,f411]) ).
fof(f732,plain,
( e20 = op2(e22,e22)
| ~ sP49 ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ~ sP49 ),
inference(nnf_transformation,[],[f71]) ).
fof(f2063,plain,
( ~ spl144_130
| spl144_110 ),
inference(avatar_split_clause,[],[f1311,f1964,f2060]) ).
fof(f1311,plain,
( e20 = h4(e12)
| ~ sP50 ),
inference(forward_demodulation,[],[f728,f419]) ).
fof(f728,plain,
( e20 = op2(e23,e23)
| ~ sP50 ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ~ sP50 ),
inference(nnf_transformation,[],[f72]) ).
fof(f2058,plain,
( ~ spl144_129
| spl144_108 ),
inference(avatar_split_clause,[],[f1310,f1955,f2055]) ).
fof(f1310,plain,
( e21 = h1(e12)
| ~ sP51 ),
inference(forward_demodulation,[],[f724,f407]) ).
fof(f724,plain,
( op2(e20,e20) = e21
| ~ sP51 ),
inference(cnf_transformation,[],[f206]) ).
fof(f2053,plain,
( ~ spl144_128
| spl144_106 ),
inference(avatar_split_clause,[],[f1309,f1946,f2050]) ).
fof(f1309,plain,
( e21 = h2(e12)
| ~ sP52 ),
inference(forward_demodulation,[],[f720,f415]) ).
fof(f720,plain,
( e21 = op2(e21,e21)
| ~ sP52 ),
inference(cnf_transformation,[],[f205]) ).
fof(f2048,plain,
( ~ spl144_127
| spl144_104 ),
inference(avatar_split_clause,[],[f1307,f1937,f2045]) ).
fof(f1307,plain,
( e21 = h3(e12)
| ~ sP53 ),
inference(forward_demodulation,[],[f716,f411]) ).
fof(f716,plain,
( e21 = op2(e22,e22)
| ~ sP53 ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ~ sP53 ),
inference(nnf_transformation,[],[f75]) ).
fof(f2043,plain,
( ~ spl144_126
| spl144_102 ),
inference(avatar_split_clause,[],[f1306,f1928,f2040]) ).
fof(f1306,plain,
( e21 = h4(e12)
| ~ sP54 ),
inference(forward_demodulation,[],[f712,f419]) ).
fof(f712,plain,
( e21 = op2(e23,e23)
| ~ sP54 ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ~ sP54 ),
inference(nnf_transformation,[],[f76]) ).
fof(f2038,plain,
( ~ spl144_125
| spl144_100 ),
inference(avatar_split_clause,[],[f1303,f1919,f2035]) ).
fof(f1303,plain,
( e22 = h1(e12)
| ~ sP55 ),
inference(forward_demodulation,[],[f708,f407]) ).
fof(f708,plain,
( op2(e20,e20) = e22
| ~ sP55 ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP55 ),
inference(nnf_transformation,[],[f77]) ).
fof(f2033,plain,
( ~ spl144_124
| spl144_98 ),
inference(avatar_split_clause,[],[f1300,f1910,f2030]) ).
fof(f1300,plain,
( e22 = h2(e12)
| ~ sP56 ),
inference(forward_demodulation,[],[f704,f415]) ).
fof(f704,plain,
( e22 = op2(e21,e21)
| ~ sP56 ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP56 ),
inference(nnf_transformation,[],[f78]) ).
fof(f2028,plain,
( ~ spl144_123
| spl144_96 ),
inference(avatar_split_clause,[],[f1297,f1901,f2025]) ).
fof(f1297,plain,
( e22 = h3(e12)
| ~ sP57 ),
inference(forward_demodulation,[],[f700,f411]) ).
fof(f700,plain,
( e22 = op2(e22,e22)
| ~ sP57 ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP57 ),
inference(nnf_transformation,[],[f79]) ).
fof(f2023,plain,
( ~ spl144_122
| spl144_96 ),
inference(avatar_split_clause,[],[f1294,f1901,f2020]) ).
fof(f1294,plain,
( e22 = h3(e12)
| ~ sP58 ),
inference(forward_demodulation,[],[f695,f411]) ).
fof(f695,plain,
( e22 = op2(e22,e22)
| ~ sP58 ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
( ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP58 ),
inference(nnf_transformation,[],[f80]) ).
fof(f2018,plain,
( ~ spl144_121
| spl144_94 ),
inference(avatar_split_clause,[],[f1293,f1892,f2015]) ).
fof(f1293,plain,
( e23 = h1(e12)
| ~ sP59 ),
inference(forward_demodulation,[],[f692,f407]) ).
fof(f692,plain,
( op2(e20,e20) = e23
| ~ sP59 ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ~ sP59 ),
inference(nnf_transformation,[],[f81]) ).
fof(f2013,plain,
( ~ spl144_120
| spl144_92 ),
inference(avatar_split_clause,[],[f1292,f1883,f2010]) ).
fof(f1292,plain,
( e23 = h2(e12)
| ~ sP60 ),
inference(forward_demodulation,[],[f688,f415]) ).
fof(f688,plain,
( e23 = op2(e21,e21)
| ~ sP60 ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ~ sP60 ),
inference(nnf_transformation,[],[f82]) ).
fof(f2008,plain,
( ~ spl144_119
| spl144_90 ),
inference(avatar_split_clause,[],[f1291,f1874,f2005]) ).
fof(f1291,plain,
( e23 = h3(e12)
| ~ sP61 ),
inference(forward_demodulation,[],[f684,f411]) ).
fof(f684,plain,
( e23 = op2(e22,e22)
| ~ sP61 ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
( ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ~ sP61 ),
inference(nnf_transformation,[],[f83]) ).
fof(f2003,plain,
( ~ spl144_117
| ~ spl144_118 ),
inference(avatar_split_clause,[],[f1289,f2000,f1996]) ).
fof(f1289,plain,
( e23 != h4(e12)
| ~ sP62 ),
inference(forward_demodulation,[],[f681,f419]) ).
fof(f681,plain,
( e23 != op2(e23,e23)
| ~ sP62 ),
inference(cnf_transformation,[],[f195]) ).
fof(f1994,plain,
( ~ spl144_115
| ~ spl144_116 ),
inference(avatar_split_clause,[],[f1287,f1991,f1987]) ).
fof(f1287,plain,
( e20 != h1(e12)
| ~ sP63 ),
inference(forward_demodulation,[],[f677,f407]) ).
fof(f677,plain,
( e20 != op2(e20,e20)
| ~ sP63 ),
inference(cnf_transformation,[],[f194]) ).
fof(f1985,plain,
( ~ spl144_113
| spl144_114 ),
inference(avatar_split_clause,[],[f1286,f1982,f1978]) ).
fof(f1286,plain,
( e20 = h2(e12)
| ~ sP64 ),
inference(forward_demodulation,[],[f672,f415]) ).
fof(f672,plain,
( e20 = op2(e21,e21)
| ~ sP64 ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ~ sP64 ),
inference(nnf_transformation,[],[f86]) ).
fof(f1976,plain,
( ~ spl144_111
| spl144_112 ),
inference(avatar_split_clause,[],[f1285,f1973,f1969]) ).
fof(f1285,plain,
( e20 = h3(e12)
| ~ sP65 ),
inference(forward_demodulation,[],[f668,f411]) ).
fof(f668,plain,
( e20 = op2(e22,e22)
| ~ sP65 ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ~ sP65 ),
inference(nnf_transformation,[],[f87]) ).
fof(f1967,plain,
( ~ spl144_109
| spl144_110 ),
inference(avatar_split_clause,[],[f1284,f1964,f1960]) ).
fof(f1284,plain,
( e20 = h4(e12)
| ~ sP66 ),
inference(forward_demodulation,[],[f664,f419]) ).
fof(f664,plain,
( e20 = op2(e23,e23)
| ~ sP66 ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ~ sP66 ),
inference(nnf_transformation,[],[f88]) ).
fof(f1958,plain,
( ~ spl144_107
| spl144_108 ),
inference(avatar_split_clause,[],[f1283,f1955,f1951]) ).
fof(f1283,plain,
( e21 = h1(e12)
| ~ sP67 ),
inference(forward_demodulation,[],[f660,f407]) ).
fof(f660,plain,
( op2(e20,e20) = e21
| ~ sP67 ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
( ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ~ sP67 ),
inference(nnf_transformation,[],[f89]) ).
fof(f1949,plain,
( ~ spl144_105
| ~ spl144_106 ),
inference(avatar_split_clause,[],[f1281,f1946,f1942]) ).
fof(f1281,plain,
( e21 != h2(e12)
| ~ sP68 ),
inference(forward_demodulation,[],[f657,f415]) ).
fof(f657,plain,
( e21 != op2(e21,e21)
| ~ sP68 ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ~ sP68 ),
inference(nnf_transformation,[],[f90]) ).
fof(f1940,plain,
( ~ spl144_103
| spl144_104 ),
inference(avatar_split_clause,[],[f1280,f1937,f1933]) ).
fof(f1280,plain,
( e21 = h3(e12)
| ~ sP69 ),
inference(forward_demodulation,[],[f652,f411]) ).
fof(f652,plain,
( e21 = op2(e22,e22)
| ~ sP69 ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ~ sP69 ),
inference(nnf_transformation,[],[f91]) ).
fof(f1931,plain,
( ~ spl144_101
| spl144_102 ),
inference(avatar_split_clause,[],[f1279,f1928,f1924]) ).
fof(f1279,plain,
( e21 = h4(e12)
| ~ sP70 ),
inference(forward_demodulation,[],[f648,f419]) ).
fof(f648,plain,
( e21 = op2(e23,e23)
| ~ sP70 ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ~ sP70 ),
inference(nnf_transformation,[],[f92]) ).
fof(f1922,plain,
( ~ spl144_99
| spl144_100 ),
inference(avatar_split_clause,[],[f1278,f1919,f1915]) ).
fof(f1278,plain,
( e22 = h1(e12)
| ~ sP71 ),
inference(forward_demodulation,[],[f644,f407]) ).
fof(f644,plain,
( op2(e20,e20) = e22
| ~ sP71 ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ~ sP71 ),
inference(nnf_transformation,[],[f93]) ).
fof(f1913,plain,
( ~ spl144_97
| spl144_98 ),
inference(avatar_split_clause,[],[f1277,f1910,f1906]) ).
fof(f1277,plain,
( e22 = h2(e12)
| ~ sP72 ),
inference(forward_demodulation,[],[f640,f415]) ).
fof(f640,plain,
( e22 = op2(e21,e21)
| ~ sP72 ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ~ sP72 ),
inference(nnf_transformation,[],[f94]) ).
fof(f1904,plain,
( ~ spl144_95
| ~ spl144_96 ),
inference(avatar_split_clause,[],[f1275,f1901,f1897]) ).
fof(f1275,plain,
( e22 != h3(e12)
| ~ sP73 ),
inference(forward_demodulation,[],[f637,f411]) ).
fof(f637,plain,
( e22 != op2(e22,e22)
| ~ sP73 ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ~ sP73 ),
inference(nnf_transformation,[],[f95]) ).
fof(f1895,plain,
( ~ spl144_93
| spl144_94 ),
inference(avatar_split_clause,[],[f1272,f1892,f1888]) ).
fof(f1272,plain,
( e23 = h1(e12)
| ~ sP75 ),
inference(forward_demodulation,[],[f628,f407]) ).
fof(f628,plain,
( op2(e20,e20) = e23
| ~ sP75 ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| ~ sP75 ),
inference(nnf_transformation,[],[f97]) ).
fof(f1886,plain,
( ~ spl144_91
| spl144_92 ),
inference(avatar_split_clause,[],[f1269,f1883,f1879]) ).
fof(f1269,plain,
( e23 = h2(e12)
| ~ sP76 ),
inference(forward_demodulation,[],[f624,f415]) ).
fof(f624,plain,
( e23 = op2(e21,e21)
| ~ sP76 ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| ~ sP76 ),
inference(nnf_transformation,[],[f98]) ).
fof(f1877,plain,
( ~ spl144_89
| spl144_90 ),
inference(avatar_split_clause,[],[f1266,f1874,f1870]) ).
fof(f1266,plain,
( e23 = h3(e12)
| ~ sP77 ),
inference(forward_demodulation,[],[f620,f411]) ).
fof(f620,plain,
( e23 = op2(e22,e22)
| ~ sP77 ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
( ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| ~ sP77 ),
inference(nnf_transformation,[],[f99]) ).
fof(f1868,plain,
spl144_88,
inference(avatar_split_clause,[],[f1227,f1865]) ).
fof(f1863,plain,
spl144_87,
inference(avatar_split_clause,[],[f1225,f1860]) ).
fof(f1858,plain,
spl144_86,
inference(avatar_split_clause,[],[f521,f1855]) ).
fof(f1853,plain,
spl144_85,
inference(avatar_split_clause,[],[f518,f1850]) ).
fof(f1848,plain,
( ~ spl144_83
| ~ spl144_84 ),
inference(avatar_split_clause,[],[f356,f1845,f1841]) ).
fof(f1845,plain,
( spl144_84
<=> e20 = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_84])]) ).
fof(f356,plain,
( e20 != h1(e10)
| ~ sP0 ),
inference(cnf_transformation,[],[f179]) ).
fof(f1839,plain,
( ~ spl144_81
| ~ spl144_82 ),
inference(avatar_split_clause,[],[f352,f1836,f1832]) ).
fof(f1836,plain,
( spl144_82
<=> e21 = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_82])]) ).
fof(f352,plain,
( e21 != h1(e10)
| ~ sP1 ),
inference(cnf_transformation,[],[f178]) ).
fof(f1830,plain,
( ~ spl144_79
| ~ spl144_80 ),
inference(avatar_split_clause,[],[f348,f1827,f1823]) ).
fof(f1827,plain,
( spl144_80
<=> e22 = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_80])]) ).
fof(f348,plain,
( e22 != h1(e10)
| ~ sP2 ),
inference(cnf_transformation,[],[f177]) ).
fof(f1821,plain,
( ~ spl144_77
| ~ spl144_78 ),
inference(avatar_split_clause,[],[f344,f1818,f1814]) ).
fof(f1818,plain,
( spl144_78
<=> e20 = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_78])]) ).
fof(f344,plain,
( e20 != h2(e10)
| ~ sP3 ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
( ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| ~ sP3 ),
inference(nnf_transformation,[],[f24]) ).
fof(f1812,plain,
( ~ spl144_75
| ~ spl144_76 ),
inference(avatar_split_clause,[],[f340,f1809,f1805]) ).
fof(f340,plain,
( e21 != h2(e10)
| ~ sP4 ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
( ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ~ sP4 ),
inference(nnf_transformation,[],[f25]) ).
fof(f1803,plain,
( ~ spl144_73
| ~ spl144_74 ),
inference(avatar_split_clause,[],[f336,f1800,f1796]) ).
fof(f1800,plain,
( spl144_74
<=> e22 = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_74])]) ).
fof(f336,plain,
( e22 != h2(e10)
| ~ sP5 ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
( ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ~ sP5 ),
inference(nnf_transformation,[],[f26]) ).
fof(f1794,plain,
( ~ spl144_71
| ~ spl144_72 ),
inference(avatar_split_clause,[],[f332,f1791,f1787]) ).
fof(f332,plain,
( e20 != h3(e10)
| ~ sP6 ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| ~ sP6 ),
inference(nnf_transformation,[],[f27]) ).
fof(f1785,plain,
( ~ spl144_69
| ~ spl144_70 ),
inference(avatar_split_clause,[],[f328,f1782,f1778]) ).
fof(f1782,plain,
( spl144_70
<=> e21 = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_70])]) ).
fof(f328,plain,
( e21 != h3(e10)
| ~ sP7 ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ~ sP7 ),
inference(nnf_transformation,[],[f28]) ).
fof(f1776,plain,
( ~ spl144_67
| ~ spl144_68 ),
inference(avatar_split_clause,[],[f324,f1773,f1769]) ).
fof(f324,plain,
( e22 != h3(e10)
| ~ sP8 ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
( ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ~ sP8 ),
inference(nnf_transformation,[],[f29]) ).
fof(f1767,plain,
( ~ spl144_65
| ~ spl144_66 ),
inference(avatar_split_clause,[],[f320,f1764,f1760]) ).
fof(f320,plain,
( e20 != h4(e10)
| ~ sP9 ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP9 ),
inference(nnf_transformation,[],[f30]) ).
fof(f1758,plain,
( ~ spl144_63
| ~ spl144_64 ),
inference(avatar_split_clause,[],[f316,f1755,f1751]) ).
fof(f1755,plain,
( spl144_64
<=> e21 = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_64])]) ).
fof(f316,plain,
( e21 != h4(e10)
| ~ sP10 ),
inference(cnf_transformation,[],[f169]) ).
fof(f1749,plain,
( ~ spl144_61
| ~ spl144_62 ),
inference(avatar_split_clause,[],[f312,f1746,f1742]) ).
fof(f1746,plain,
( spl144_62
<=> e22 = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_62])]) ).
fof(f312,plain,
( e22 != h4(e10)
| ~ sP11 ),
inference(cnf_transformation,[],[f168]) ).
fof(f1740,plain,
( ~ spl144_60
| spl144_24 ),
inference(avatar_split_clause,[],[f1429,f1557,f1737]) ).
fof(f1429,plain,
( e10 = e12
| ~ sP84 ),
inference(forward_demodulation,[],[f1132,f521]) ).
fof(f1132,plain,
( e10 = op1(e13,e13)
| ~ sP84 ),
inference(cnf_transformation,[],[f305]) ).
fof(f305,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP84 ),
inference(nnf_transformation,[],[f107]) ).
fof(f1735,plain,
( ~ spl144_59
| spl144_26 ),
inference(avatar_split_clause,[],[f1427,f1567,f1732]) ).
fof(f1427,plain,
( e11 = e12
| ~ sP88 ),
inference(forward_demodulation,[],[f1116,f521]) ).
fof(f1116,plain,
( e11 = op1(e13,e13)
| ~ sP88 ),
inference(cnf_transformation,[],[f301]) ).
fof(f301,plain,
( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ~ sP88 ),
inference(nnf_transformation,[],[f111]) ).
fof(f1730,plain,
( ~ spl144_58
| spl144_28 ),
inference(avatar_split_clause,[],[f1425,f1577,f1727]) ).
fof(f1425,plain,
( e12 = e13
| ~ sP96 ),
inference(forward_demodulation,[],[f1084,f521]) ).
fof(f1084,plain,
( e13 = op1(e13,e13)
| ~ sP96 ),
inference(cnf_transformation,[],[f293]) ).
fof(f293,plain,
( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ~ sP96 ),
inference(nnf_transformation,[],[f119]) ).
fof(f1725,plain,
( ~ spl144_57
| spl144_24 ),
inference(avatar_split_clause,[],[f1423,f1557,f1722]) ).
fof(f1423,plain,
( e10 = e12
| ~ sP100 ),
inference(forward_demodulation,[],[f1068,f521]) ).
fof(f1068,plain,
( e10 = op1(e13,e13)
| ~ sP100 ),
inference(cnf_transformation,[],[f289]) ).
fof(f289,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ~ sP100 ),
inference(nnf_transformation,[],[f123]) ).
fof(f1720,plain,
( ~ spl144_56
| spl144_26 ),
inference(avatar_split_clause,[],[f1421,f1567,f1717]) ).
fof(f1421,plain,
( e11 = e12
| ~ sP104 ),
inference(forward_demodulation,[],[f1052,f521]) ).
fof(f1052,plain,
( e11 = op1(e13,e13)
| ~ sP104 ),
inference(cnf_transformation,[],[f285]) ).
fof(f285,plain,
( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP104 ),
inference(nnf_transformation,[],[f127]) ).
fof(f1715,plain,
( ~ spl144_55
| spl144_23 ),
inference(avatar_split_clause,[],[f1420,f1552,f1712]) ).
fof(f1420,plain,
( e10 = e11
| ~ sP105 ),
inference(forward_demodulation,[],[f1047,f1227]) ).
fof(f1047,plain,
( e11 = op1(e12,e11)
| ~ sP105 ),
inference(cnf_transformation,[],[f284]) ).
fof(f284,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ~ sP105 ),
inference(nnf_transformation,[],[f128]) ).
fof(f1710,plain,
( ~ spl144_54
| spl144_23 ),
inference(avatar_split_clause,[],[f1419,f1552,f1707]) ).
fof(f1419,plain,
( e10 = e11
| ~ sP106 ),
inference(forward_demodulation,[],[f1043,f1227]) ).
fof(f1043,plain,
( e11 = op1(e12,e11)
| ~ sP106 ),
inference(cnf_transformation,[],[f283]) ).
fof(f283,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ~ sP106 ),
inference(nnf_transformation,[],[f129]) ).
fof(f1705,plain,
( ~ spl144_53
| spl144_23 ),
inference(avatar_split_clause,[],[f1418,f1552,f1702]) ).
fof(f1418,plain,
( e10 = e11
| ~ sP107 ),
inference(forward_demodulation,[],[f1039,f1227]) ).
fof(f1039,plain,
( e11 = op1(e12,e11)
| ~ sP107 ),
inference(cnf_transformation,[],[f282]) ).
fof(f282,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ~ sP107 ),
inference(nnf_transformation,[],[f130]) ).
fof(f1700,plain,
( ~ spl144_52
| spl144_23 ),
inference(avatar_split_clause,[],[f1417,f1552,f1697]) ).
fof(f1417,plain,
( e10 = e11
| ~ sP108 ),
inference(forward_demodulation,[],[f1035,f1227]) ).
fof(f1035,plain,
( e11 = op1(e12,e11)
| ~ sP108 ),
inference(cnf_transformation,[],[f281]) ).
fof(f281,plain,
( ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ~ sP108 ),
inference(nnf_transformation,[],[f131]) ).
fof(f1695,plain,
( ~ spl144_51
| spl144_28 ),
inference(avatar_split_clause,[],[f1415,f1577,f1692]) ).
fof(f1415,plain,
( e12 = e13
| ~ sP112 ),
inference(forward_demodulation,[],[f1020,f521]) ).
fof(f1020,plain,
( e13 = op1(e13,e13)
| ~ sP112 ),
inference(cnf_transformation,[],[f277]) ).
fof(f277,plain,
( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ~ sP112 ),
inference(nnf_transformation,[],[f135]) ).
fof(f1690,plain,
( ~ spl144_50
| spl144_24 ),
inference(avatar_split_clause,[],[f1413,f1557,f1687]) ).
fof(f1413,plain,
( e10 = e12
| ~ sP116 ),
inference(forward_demodulation,[],[f1004,f521]) ).
fof(f1004,plain,
( e10 = op1(e13,e13)
| ~ sP116 ),
inference(cnf_transformation,[],[f273]) ).
fof(f273,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ~ sP116 ),
inference(nnf_transformation,[],[f139]) ).
fof(f1685,plain,
( ~ spl144_49
| spl144_24 ),
inference(avatar_split_clause,[],[f1412,f1557,f1682]) ).
fof(f1412,plain,
( e10 = e12
| ~ sP117 ),
inference(forward_demodulation,[],[f998,f1227]) ).
fof(f998,plain,
( e12 = op1(e12,e11)
| ~ sP117 ),
inference(cnf_transformation,[],[f272]) ).
fof(f272,plain,
( ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ~ sP117 ),
inference(nnf_transformation,[],[f140]) ).
fof(f1680,plain,
( ~ spl144_48
| spl144_24 ),
inference(avatar_split_clause,[],[f1411,f1557,f1677]) ).
fof(f1411,plain,
( e10 = e12
| ~ sP118 ),
inference(forward_demodulation,[],[f994,f1227]) ).
fof(f994,plain,
( e12 = op1(e12,e11)
| ~ sP118 ),
inference(cnf_transformation,[],[f271]) ).
fof(f271,plain,
( ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ~ sP118 ),
inference(nnf_transformation,[],[f141]) ).
fof(f1675,plain,
( ~ spl144_47
| spl144_24 ),
inference(avatar_split_clause,[],[f1410,f1557,f1672]) ).
fof(f1410,plain,
( e10 = e12
| ~ sP119 ),
inference(forward_demodulation,[],[f990,f1227]) ).
fof(f990,plain,
( e12 = op1(e12,e11)
| ~ sP119 ),
inference(cnf_transformation,[],[f270]) ).
fof(f270,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ~ sP119 ),
inference(nnf_transformation,[],[f142]) ).
fof(f1670,plain,
( ~ spl144_46
| spl144_26 ),
inference(avatar_split_clause,[],[f1407,f1567,f1667]) ).
fof(f1407,plain,
( e11 = e12
| ~ sP120 ),
inference(forward_demodulation,[],[f988,f521]) ).
fof(f988,plain,
( e11 = op1(e13,e13)
| ~ sP120 ),
inference(cnf_transformation,[],[f269]) ).
fof(f269,plain,
( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ~ sP120 ),
inference(nnf_transformation,[],[f143]) ).
fof(f1665,plain,
( ~ spl144_45
| spl144_26 ),
inference(avatar_split_clause,[],[f1405,f1567,f1662]) ).
fof(f1405,plain,
( e11 = e12
| ~ sP125 ),
inference(forward_demodulation,[],[f967,f1225]) ).
fof(f967,plain,
( e12 = op1(e13,e12)
| ~ sP125 ),
inference(cnf_transformation,[],[f264]) ).
fof(f264,plain,
( ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ~ sP125 ),
inference(nnf_transformation,[],[f148]) ).
fof(f1660,plain,
( ~ spl144_44
| spl144_26 ),
inference(avatar_split_clause,[],[f1404,f1567,f1657]) ).
fof(f1404,plain,
( e11 = e12
| ~ sP126 ),
inference(forward_demodulation,[],[f963,f1225]) ).
fof(f963,plain,
( e12 = op1(e13,e12)
| ~ sP126 ),
inference(cnf_transformation,[],[f263]) ).
fof(f263,plain,
( ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ~ sP126 ),
inference(nnf_transformation,[],[f149]) ).
fof(f1655,plain,
( ~ spl144_43
| spl144_26 ),
inference(avatar_split_clause,[],[f1403,f1567,f1652]) ).
fof(f1403,plain,
( e11 = e12
| ~ sP127 ),
inference(forward_demodulation,[],[f959,f1225]) ).
fof(f959,plain,
( e12 = op1(e13,e12)
| ~ sP127 ),
inference(cnf_transformation,[],[f262]) ).
fof(f262,plain,
( ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ~ sP127 ),
inference(nnf_transformation,[],[f150]) ).
fof(f1650,plain,
( ~ spl144_42
| spl144_28 ),
inference(avatar_split_clause,[],[f1401,f1577,f1647]) ).
fof(f1401,plain,
( e12 = e13
| ~ sP128 ),
inference(forward_demodulation,[],[f956,f521]) ).
fof(f956,plain,
( e13 = op1(e13,e13)
| ~ sP128 ),
inference(cnf_transformation,[],[f261]) ).
fof(f261,plain,
( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ~ sP128 ),
inference(nnf_transformation,[],[f151]) ).
fof(f1645,plain,
( ~ spl144_41
| spl144_24 ),
inference(avatar_split_clause,[],[f1399,f1557,f1642]) ).
fof(f1399,plain,
( e10 = e12
| ~ sP132 ),
inference(forward_demodulation,[],[f940,f521]) ).
fof(f940,plain,
( e10 = op1(e13,e13)
| ~ sP132 ),
inference(cnf_transformation,[],[f257]) ).
fof(f257,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ~ sP132 ),
inference(nnf_transformation,[],[f155]) ).
fof(f1640,plain,
( ~ spl144_40
| spl144_26 ),
inference(avatar_split_clause,[],[f1397,f1567,f1637]) ).
fof(f1397,plain,
( e11 = e12
| ~ sP136 ),
inference(forward_demodulation,[],[f924,f521]) ).
fof(f924,plain,
( e11 = op1(e13,e13)
| ~ sP136 ),
inference(cnf_transformation,[],[f253]) ).
fof(f253,plain,
( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ~ sP136 ),
inference(nnf_transformation,[],[f159]) ).
fof(f1635,plain,
( ~ spl144_39
| spl144_27 ),
inference(avatar_split_clause,[],[f1396,f1572,f1632]) ).
fof(f1396,plain,
( e11 = e13
| ~ sP137 ),
inference(forward_demodulation,[],[f918,f1225]) ).
fof(f918,plain,
( e13 = op1(e13,e12)
| ~ sP137 ),
inference(cnf_transformation,[],[f252]) ).
fof(f252,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ~ sP137 ),
inference(nnf_transformation,[],[f160]) ).
fof(f1630,plain,
( ~ spl144_38
| spl144_27 ),
inference(avatar_split_clause,[],[f1395,f1572,f1627]) ).
fof(f1395,plain,
( e11 = e13
| ~ sP138 ),
inference(forward_demodulation,[],[f914,f1225]) ).
fof(f914,plain,
( e13 = op1(e13,e12)
| ~ sP138 ),
inference(cnf_transformation,[],[f251]) ).
fof(f251,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ~ sP138 ),
inference(nnf_transformation,[],[f161]) ).
fof(f1625,plain,
( ~ spl144_37
| spl144_27 ),
inference(avatar_split_clause,[],[f1394,f1572,f1622]) ).
fof(f1394,plain,
( e11 = e13
| ~ sP139 ),
inference(forward_demodulation,[],[f910,f1225]) ).
fof(f910,plain,
( e13 = op1(e13,e12)
| ~ sP139 ),
inference(cnf_transformation,[],[f250]) ).
fof(f250,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ~ sP139 ),
inference(nnf_transformation,[],[f162]) ).
fof(f1620,plain,
( ~ spl144_36
| spl144_27 ),
inference(avatar_split_clause,[],[f1393,f1572,f1617]) ).
fof(f1393,plain,
( e11 = e13
| ~ sP140 ),
inference(forward_demodulation,[],[f906,f1225]) ).
fof(f906,plain,
( e13 = op1(e13,e12)
| ~ sP140 ),
inference(cnf_transformation,[],[f249]) ).
fof(f249,plain,
( ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ~ sP140 ),
inference(nnf_transformation,[],[f163]) ).
fof(f1615,plain,
( ~ spl144_35
| spl144_28 ),
inference(avatar_split_clause,[],[f1390,f1577,f1612]) ).
fof(f1390,plain,
( e12 = e13
| ~ sP141 ),
inference(forward_demodulation,[],[f903,f521]) ).
fof(f903,plain,
( e13 = op1(e13,e13)
| ~ sP141 ),
inference(cnf_transformation,[],[f248]) ).
fof(f248,plain,
( ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| ~ sP141 ),
inference(nnf_transformation,[],[f164]) ).
fof(f1610,plain,
( ~ spl144_34
| spl144_28 ),
inference(avatar_split_clause,[],[f1388,f1577,f1607]) ).
fof(f1388,plain,
( e12 = e13
| ~ sP142 ),
inference(forward_demodulation,[],[f899,f521]) ).
fof(f899,plain,
( e13 = op1(e13,e13)
| ~ sP142 ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
( ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| ~ sP142 ),
inference(nnf_transformation,[],[f165]) ).
fof(f1605,plain,
( ~ spl144_33
| spl144_28 ),
inference(avatar_split_clause,[],[f1386,f1577,f1602]) ).
fof(f1386,plain,
( e12 = e13
| ~ sP143 ),
inference(forward_demodulation,[],[f895,f521]) ).
fof(f895,plain,
( e13 = op1(e13,e13)
| ~ sP143 ),
inference(cnf_transformation,[],[f246]) ).
fof(f246,plain,
( ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| ~ sP143 ),
inference(nnf_transformation,[],[f166]) ).
fof(f1600,plain,
spl144_32,
inference(avatar_split_clause,[],[f416,f1597]) ).
fof(f416,plain,
e23 = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f1595,plain,
spl144_31,
inference(avatar_split_clause,[],[f412,f1592]) ).
fof(f412,plain,
e21 = h2(e13),
inference(cnf_transformation,[],[f15]) ).
fof(f1590,plain,
spl144_30,
inference(avatar_split_clause,[],[f408,f1587]) ).
fof(f408,plain,
e22 = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f1585,plain,
spl144_29,
inference(avatar_split_clause,[],[f404,f1582]) ).
fof(f404,plain,
e20 = h1(e13),
inference(cnf_transformation,[],[f14]) ).
fof(f1580,plain,
~ spl144_28,
inference(avatar_split_clause,[],[f403,f1577]) ).
fof(f403,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f1575,plain,
~ spl144_27,
inference(avatar_split_clause,[],[f402,f1572]) ).
fof(f402,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f1570,plain,
~ spl144_26,
inference(avatar_split_clause,[],[f401,f1567]) ).
fof(f401,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f1565,plain,
~ spl144_25,
inference(avatar_split_clause,[],[f400,f1562]) ).
fof(f400,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f1560,plain,
~ spl144_24,
inference(avatar_split_clause,[],[f399,f1557]) ).
fof(f399,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f1555,plain,
~ spl144_23,
inference(avatar_split_clause,[],[f398,f1552]) ).
fof(f398,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f1550,plain,
~ spl144_22,
inference(avatar_split_clause,[],[f397,f1547]) ).
fof(f1547,plain,
( spl144_22
<=> e13 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_22])]) ).
fof(f397,plain,
e13 != e23,
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
( e13 != e23
& e13 != e22
& e13 != e21
& e13 != e20
& e12 != e23
& e12 != e22
& e12 != e21
& e12 != e20
& e11 != e23
& e11 != e22
& e11 != e21
& e11 != e20
& e10 != e23
& e10 != e22
& e10 != e21
& e10 != e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
fof(f1545,plain,
~ spl144_21,
inference(avatar_split_clause,[],[f396,f1542]) ).
fof(f1542,plain,
( spl144_21
<=> e13 = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_21])]) ).
fof(f396,plain,
e13 != e22,
inference(cnf_transformation,[],[f9]) ).
fof(f1540,plain,
~ spl144_20,
inference(avatar_split_clause,[],[f395,f1537]) ).
fof(f1537,plain,
( spl144_20
<=> e13 = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_20])]) ).
fof(f395,plain,
e13 != e21,
inference(cnf_transformation,[],[f9]) ).
fof(f1535,plain,
~ spl144_19,
inference(avatar_split_clause,[],[f394,f1532]) ).
fof(f1532,plain,
( spl144_19
<=> e13 = e20 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_19])]) ).
fof(f394,plain,
e13 != e20,
inference(cnf_transformation,[],[f9]) ).
fof(f1530,plain,
~ spl144_18,
inference(avatar_split_clause,[],[f393,f1527]) ).
fof(f1527,plain,
( spl144_18
<=> e12 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_18])]) ).
fof(f393,plain,
e12 != e23,
inference(cnf_transformation,[],[f9]) ).
fof(f1525,plain,
~ spl144_17,
inference(avatar_split_clause,[],[f392,f1522]) ).
fof(f1522,plain,
( spl144_17
<=> e12 = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_17])]) ).
fof(f392,plain,
e12 != e22,
inference(cnf_transformation,[],[f9]) ).
fof(f1520,plain,
~ spl144_16,
inference(avatar_split_clause,[],[f391,f1517]) ).
fof(f1517,plain,
( spl144_16
<=> e12 = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_16])]) ).
fof(f391,plain,
e12 != e21,
inference(cnf_transformation,[],[f9]) ).
fof(f1515,plain,
~ spl144_15,
inference(avatar_split_clause,[],[f390,f1512]) ).
fof(f1512,plain,
( spl144_15
<=> e12 = e20 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_15])]) ).
fof(f390,plain,
e12 != e20,
inference(cnf_transformation,[],[f9]) ).
fof(f1510,plain,
~ spl144_14,
inference(avatar_split_clause,[],[f389,f1507]) ).
fof(f1507,plain,
( spl144_14
<=> e11 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_14])]) ).
fof(f389,plain,
e11 != e23,
inference(cnf_transformation,[],[f9]) ).
fof(f1505,plain,
~ spl144_13,
inference(avatar_split_clause,[],[f388,f1502]) ).
fof(f1502,plain,
( spl144_13
<=> e11 = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_13])]) ).
fof(f388,plain,
e11 != e22,
inference(cnf_transformation,[],[f9]) ).
fof(f1500,plain,
~ spl144_12,
inference(avatar_split_clause,[],[f387,f1497]) ).
fof(f1497,plain,
( spl144_12
<=> e11 = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_12])]) ).
fof(f387,plain,
e11 != e21,
inference(cnf_transformation,[],[f9]) ).
fof(f1495,plain,
~ spl144_11,
inference(avatar_split_clause,[],[f386,f1492]) ).
fof(f1492,plain,
( spl144_11
<=> e11 = e20 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_11])]) ).
fof(f386,plain,
e11 != e20,
inference(cnf_transformation,[],[f9]) ).
fof(f1490,plain,
~ spl144_10,
inference(avatar_split_clause,[],[f385,f1487]) ).
fof(f1487,plain,
( spl144_10
<=> e10 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_10])]) ).
fof(f385,plain,
e10 != e23,
inference(cnf_transformation,[],[f9]) ).
fof(f1485,plain,
~ spl144_9,
inference(avatar_split_clause,[],[f384,f1482]) ).
fof(f1482,plain,
( spl144_9
<=> e10 = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_9])]) ).
fof(f384,plain,
e10 != e22,
inference(cnf_transformation,[],[f9]) ).
fof(f1480,plain,
~ spl144_8,
inference(avatar_split_clause,[],[f383,f1477]) ).
fof(f1477,plain,
( spl144_8
<=> e10 = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_8])]) ).
fof(f383,plain,
e10 != e21,
inference(cnf_transformation,[],[f9]) ).
fof(f1475,plain,
~ spl144_7,
inference(avatar_split_clause,[],[f382,f1472]) ).
fof(f1472,plain,
( spl144_7
<=> e10 = e20 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_7])]) ).
fof(f382,plain,
e10 != e20,
inference(cnf_transformation,[],[f9]) ).
fof(f1470,plain,
~ spl144_6,
inference(avatar_split_clause,[],[f381,f1467]) ).
fof(f381,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f1465,plain,
~ spl144_5,
inference(avatar_split_clause,[],[f380,f1462]) ).
fof(f380,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f1460,plain,
~ spl144_4,
inference(avatar_split_clause,[],[f379,f1457]) ).
fof(f379,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f1455,plain,
~ spl144_3,
inference(avatar_split_clause,[],[f378,f1452]) ).
fof(f378,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f1450,plain,
~ spl144_2,
inference(avatar_split_clause,[],[f377,f1447]) ).
fof(f377,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f1445,plain,
~ spl144_1,
inference(avatar_split_clause,[],[f376,f1442]) ).
fof(f376,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG119+1 : TPTP v8.2.0. Released v2.7.0.
% 0.07/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat May 18 22:52:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % (14038)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (14044)WARNING: value z3 for option sas not known
% 0.13/0.37 % (14045)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (14047)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37 % (14048)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.37 % (14046)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.38 % (14044)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.38 % (14042)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 % (14043)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.52 Detected minimum model sizes of [8]
% 0.20/0.52 Detected maximum model sizes of [max]
% 0.20/0.52 TRYING [8]
% 2.94/0.82 TRYING [9]
% 3.90/0.93 % (14046)First to succeed.
% 4.22/0.99 % (14046)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14038"
% 4.22/0.99 % (14046)Refutation found. Thanks to Tanya!
% 4.22/0.99 % SZS status Theorem for theBenchmark
% 4.22/0.99 % SZS output start Proof for theBenchmark
% See solution above
% 4.59/1.03 % (14046)------------------------------
% 4.59/1.03 % (14046)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 4.59/1.03 % (14046)Termination reason: Refutation
% 4.59/1.03
% 4.59/1.03 % (14046)Memory used [KB]: 5073
% 4.59/1.03 % (14046)Time elapsed: 0.615 s
% 4.59/1.03 % (14046)Instructions burned: 1307 (million)
% 4.59/1.03 % (14038)Success in time 0.658 s
%------------------------------------------------------------------------------